http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Jkim3173Physics Book - User contributions [en]2026-04-29T12:59:43ZUser contributionsMediaWiki 1.42.7http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22883Magnetic Dipole2016-04-18T01:35:08Z<p>Jkim3173: /* See also */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22880Magnetic Dipole2016-04-18T01:34:23Z<p>Jkim3173: /* History */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22874Magnetic Dipole2016-04-18T01:32:34Z<p>Jkim3173: /* References */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22873Magnetic Dipole2016-04-18T01:32:26Z<p>Jkim3173: /* References */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22872Magnetic Dipole2016-04-18T01:32:19Z<p>Jkim3173: /* References */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
<br />
<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22871Magnetic Dipole2016-04-18T01:32:08Z<p>Jkim3173: /* External links */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22870Magnetic Dipole2016-04-18T01:31:47Z<p>Jkim3173: /* See also */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Long_Straight_Wire Magnetic Field of a Long Straight Wire]<br />
[http://www.physicsbook.gatech.edu/Magnetic_Field_of_a_Loop Magnetic Field of a Loop]<br />
<br />
===Further reading===<br />
<br />
Terahertz Magnetic Response from Artificial Materials<br />
<br />
http://science.sciencemag.org/content/303/5663/1494<br />
<br />
===External links===<br />
<br />
http://www.chemguide.co.uk/analysis/nmr/background.html<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magmom.html<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22857Magnetic Dipole2016-04-18T01:26:27Z<p>Jkim3173: /* Connectedness */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
<br />
'''Industrial Application'''<br />
<br />
One of the most common industrial applications of Magnetic Dipole is the Nuclear Magnetic Resonance spectroscopy. To learn more about NMR, click [http://www.chemguide.co.uk/analysis/nmr/background.html here]<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22829Magnetic Dipole2016-04-18T01:20:54Z<p>Jkim3173: /* Difficult */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22826Magnetic Dipole2016-04-18T01:19:53Z<p>Jkim3173: /* Difficult */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
<br />
The question is a lot like the previous question, except there is a slight bit of twist in it (the direction). In this question, the solving method is exactly same as the previous except the first part involves direction of the deflection. To determine the direction of the deflection we must visualize the magnetic field induced from the dipole. Remember that the magnetic field points outward and for south it points inward, making a curl towards each other as shown:<br />
<br />
[[File:File:Bar magnet1.gif]]<br />
<br />
And thus, for the compass to turn east, which is towards the magnet, the pole closer to the compass must be South. The full solution is as shown:<br />
<br />
[[File:Solution1mag.JPG]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Bar_magnet1.gif&diff=22823File:Bar magnet1.gif2016-04-18T01:19:02Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22806Magnetic Dipole2016-04-18T01:06:27Z<p>Jkim3173: /* Difficult */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
[[File:Test2mag.JPG]]<br />
<br />
[[File:Solution1mag.JPG]]<br />
[[File:Solution2mag.JPG]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Solution2mag.JPG&diff=22803File:Solution2mag.JPG2016-04-18T01:06:01Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Solution1mag.JPG&diff=22801File:Solution1mag.JPG2016-04-18T01:05:46Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22751Magnetic Dipole2016-04-18T00:35:47Z<p>Jkim3173: /* Difficult */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
[[File:Test1mag.JPG]]<br />
[[File:Test2mag.JPG]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Test2mag.JPG&diff=22750File:Test2mag.JPG2016-04-18T00:35:22Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Test1mag.JPG&diff=22746File:Test1mag.JPG2016-04-18T00:31:51Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22740Magnetic Dipole2016-04-18T00:29:49Z<p>Jkim3173: /* Examples */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 A*M^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 A*M^2</math><br />
<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22736Magnetic Dipole2016-04-18T00:29:23Z<p>Jkim3173: /* Examples */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 AM^2</math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 AM^2</math><br />
<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22734Magnetic Dipole2016-04-18T00:28:54Z<p>Jkim3173: /* The Main Idea */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
It is also important to note that the units for Magnetic Dipole moment is Ampere*M^2<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 </math><br />
<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22728Magnetic Dipole2016-04-18T00:27:52Z<p>Jkim3173: /* Middling */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac {1E-7 * 2 * \mu} {(0.2)^3} </math><br />
<br />
<math> \mu = 0.292 </math><br />
<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22720Magnetic Dipole2016-04-18T00:24:48Z<p>Jkim3173: /* Middling */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = \frac (1E-7 * 2 * \mu) (0.2)^3<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22553Magnetic Dipole2016-04-17T21:54:40Z<p>Jkim3173: /* Middling */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
With the given magnetic field, we can plug in the value into the formula given (note that because it is along the X axis, we use this formula)<br />
<br />
[[File:Magper.JPG]]<br />
<br />
<math> 7.3E-6 = 2 \times<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22550Magnetic Dipole2016-04-17T21:49:19Z<p>Jkim3173: /* Middling */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
<br />
When the compass was placed 20 cm away from a bar magnet parallel to the X axis and showed deflection of 20 degrees, what is the magnetic dipole of the magnet? You can assume that B earth is 2E-5<br />
<br />
'''Solution'''<br />
<br />
First, we need to figure out the magnetic dipole induced from the magnet. Thus, we need to use the formula:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is 2E-5, and the degree is 20 degrees. Thus,<br />
<br />
<math> 2E-5 \times tan(20) = 7.3E-6 </math><br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22533Magnetic Dipole2016-04-17T21:39:42Z<p>Jkim3173: /* Examples */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 \times 0.08^2 \times \pi = 0.0192 </math><br />
<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22530Magnetic Dipole2016-04-17T21:39:12Z<p>Jkim3173: /* Simple */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
In a circular loop with current of 3 Ampere and diameter of 16 cm, what is the magnetic dipole moment induced from the current?<br />
<br />
'''Solution'''<br />
<br />
We can just simply use the first equation given in the beginning: <br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where R is 0.08 meters and I is 3 Amperes. Calculating for the magnetic dipole moment gives:<br />
<br />
<math> 3 * 0.08^2 * \pi = 0.0192 </math><br />
<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22513Magnetic Dipole2016-04-17T21:24:08Z<p>Jkim3173: /* The Main Idea */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.JPG]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22511Magnetic Dipole2016-04-17T21:23:24Z<p>Jkim3173: /* The Main Idea */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
The first part of the equation is the constant, 1E-7, and the other part of the equation requires the magnetic dipole and the distance between the observation location and the dipole denoted by r. <br />
<br />
The most common form of problem using the magnetic dipole is as follows:<br />
<br />
First, you would be given a compass and its deflection due to a magnet. Using this, you are able to figure out the magnetic field induced from the dipole using the equation:<br />
<br />
[[File:Bearth.jpg]]<br />
<br />
where B earth is usually given to be 2E-5. Then, you will be able to calculate the magnetic field.<br />
<br />
Using this magnetic field, you will be asked to calculate the magnetic dipole. The rest is simple; depending whether your compass was located perpendicularly or along the axis, you can choose which equation to use and plug in the values and solve for the magnetic dipole moment. <br />
<br />
It is also important to note the direction of the dipole moment. The direction of the dipole moment points North in a magnet: <br />
<br />
[[File:Magdidirection.gif]]<br />
<br />
On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule, make the hand curl in the direction of the current. The direction of your thumb will be the magnetic dipole moment induced from the current. <br />
<br />
[[File:Magneticdipolemom.jpg]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magneticdipolemom.jpg&diff=22508File:Magneticdipolemom.jpg2016-04-17T21:23:10Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magdidirection.gif&diff=22506File:Magdidirection.gif2016-04-17T21:21:03Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Bearth.JPG&diff=22505File:Bearth.JPG2016-04-17T21:18:12Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22499Magnetic Dipole2016-04-17T21:15:27Z<p>Jkim3173: /* A Mathematical Model */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:Magperpendicular.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
[[File:Magparallel.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magparallel.jpg&diff=22498File:Magparallel.jpg2016-04-17T21:15:07Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magperpendicular.jpg&diff=22496File:Magperpendicular.jpg2016-04-17T21:14:43Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22488Magnetic Dipole2016-04-17T21:11:09Z<p>Jkim3173: /* A Mathematical Model */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:PerMag.jpg]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22485Magnetic Dipole2016-04-17T21:10:29Z<p>Jkim3173: /* A Mathematical Model */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
[[File:PerMag.JPG]]<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:Magpar.JPG]]<br />
<br />
If the observation location is placed along the X axis like the image below<br />
<br />
<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:PerMag.jpg&diff=22484File:PerMag.jpg2016-04-17T21:09:54Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magpar.JPG&diff=22482File:Magpar.JPG2016-04-17T21:08:47Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22479Magnetic Dipole2016-04-17T21:06:49Z<p>Jkim3173: /* A Mathematical Model */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
<br />
then the equation for the magnetic field induced by the dipole is:<br />
<br />
[[File:magper.JPG]]<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
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Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
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== See also ==<br />
<br />
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[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magper.JPG&diff=22478File:Magper.JPG2016-04-17T21:06:43Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22476Magnetic Dipole2016-04-17T21:04:25Z<p>Jkim3173: /* A Mathematical Model */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is:<br />
<br />
[[File:Magneticdipole1.JPG]]<br />
<br />
where I is the current, and A is the cross sectional area.<br />
<br />
The 2nd part of the equation is specifically for loop field induced magnetic dipole and its area is naturally the area of a circle using the radius. <br />
<br />
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.<br />
<br />
[[File:loopmag.JPG]]<br />
<br />
However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal magnets that we see on life, for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.<br />
<br />
There are two equations based on the observation location.<br />
<br />
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
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<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
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This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Loopmag.JPG&diff=22472File:Loopmag.JPG2016-04-17T21:03:25Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magneticdipole1.JPG&diff=22462File:Magneticdipole1.JPG2016-04-17T20:55:43Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22452Magnetic Dipole2016-04-17T20:49:33Z<p>Jkim3173: /* The Main Idea */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic basis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
[[File:Magnetificdipole1.jpg]]<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
The main equation for a magnetic dipole is: <br />
<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=File:Magnetificdipole1.jpg&diff=22450File:Magnetificdipole1.jpg2016-04-17T20:45:56Z<p>Jkim3173: </p>
<hr />
<div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=22449Magnetic Dipole2016-04-17T20:45:11Z<p>Jkim3173: /* The Main Idea */</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Dipole often occurs when there is a separation of charges, whether that be in a microscopic basis or macroscopic masis. When there are two separate poles of magnetism, a magnetic dipole forms, causing a unique pattern of magnetic field. <br />
<br />
<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Dipole&diff=20698Magnetic Dipole2016-03-30T06:53:44Z<p>Jkim3173: Created page with "Short Description of Topic Claimed by Jae Hyun Kim ==The Main Idea== State, in your own words, the main idea for this topic Electric Field of Capacitor ===A Mathematical Mo..."</p>
<hr />
<div>Short Description of Topic<br />
Claimed by Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
State, in your own words, the main idea for this topic<br />
Electric Field of Capacitor<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=20697Main Page2016-03-30T06:52:00Z<p>Jkim3173: /* Dipoles */</p>
<hr />
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<div style="float:left; width:30%; padding:1%;"><br />
==Physics 1==<br />
===Week 1===<br />
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<br />
<br />
====Student Content====<br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Help with VPython=====<br />
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<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Vectors and Units=====<br />
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<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Interactions=====<br />
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<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Velocity and Momentum=====<br />
<div class=“mw-collapsible-content”><br />
*[[Newton’s First Law of Motion]]<br />
*[[Velocity]]<br />
*[[Mass]]<br />
*[[Speed and Velocity]]<br />
*[[Relative Velocity]]<br />
*[[Derivation of Average Velocity]]<br />
*[[2-Dimensional Motion]]<br />
*[[3-Dimensional Position and Motion]]<br />
</div><br />
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<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:vpython_resources Software for Projects]<br />
<br />
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<br />
===Week 2===<br />
====Student Content====<br />
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=====Momentum and the Momentum Principle=====<br />
<div class=“mw-collapsible-content”><br />
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<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Iterative Prediction with a Constant Force=====<br />
<div class=“mw-collapsible-content”><br />
*[[Newton’s Second Law of Motion]]<br />
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*[[Kinematics]]<br />
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====Expert Content====<br />
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* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:scalars_and_vectors Scalars and Vectors]<br />
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* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum_principle The Momentum Principle]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:acceleration Acceleration & The Change in Momentum]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:motionPredict Applying the Momentum Principle]<br />
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* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:iterativePredict Iterative Prediction of Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]<br />
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===Week 3===<br />
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mw-collapsible mw-collapsed”><br />
=====Analytic Prediction with a Constant Force=====<br />
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class=“mw-collapsible-content”><br />
*[[Analytical Prediction]]<br />
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<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Iterative Prediction with a Varying Force=====<br />
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class=“mw-collapsible-content”><br />
*[[Predicting Change in multiple dimensions]]<br />
*[[Spring Force]]<br />
*[[Hooke’s Law]]<br />
*[[Simple Harmonic Motion]]<br />
*[[Iterative Prediction of Spring-Mass System]]<br />
*[[Terminal Speed]]<br />
*[[Determinism]]<br />
</div><br />
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====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:drag Drag]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]<br />
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* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:springMotion Non-constant Force: Springs & Spring-like Interactions]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:friction Contact Interactions: The Normal Force & Friction]<br />
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===Week 4===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Fundamental Interactions=====<br />
<div class=“mw-collapsible-content”><br />
*[[Gravitational Force]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]<br />
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<br />
===Week 5===<br />
====Student Content====<br />
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mw-collapsible mw-collapsed”><br />
=====Conservation of Momentum=====<br />
<div class=“mw-collapsible-content”><br />
*[[Conservation of Momentum]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
<br />
=====Properties of Matter=====<br />
<div class=“mw-collapsible-content”><br />
*[[Kinds of Matter]]<br />
**[[Ball and Spring Model of Matter]]<br />
*[[Density]]<br />
*[[Length and Stiffness of an Interatomic Bond]]<br />
*[[Young’s Modulus]]<br />
*[[Speed of Sound in Solids]]<br />
*[[Malleability]]<br />
*[[Ductility]]<br />
*[[Weight]]<br />
*[[Hardness]]<br />
*[[Boiling Point]]<br />
*[[Melting Point]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:model_of_a_wire Modeling a Solid Wire: springs in series and parallel]<br />
<br />
</div><br />
<br />
<br />
===Week 6===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Identifying Forces=====<br />
<div class=“mw-collapsible-content”><br />
*[[Free Body Diagram]]<br />
*[[Compression or Normal Force]]<br />
*[[Tension]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Curving Motion=====<br />
<div class=“mw-collapsible-content”><br />
*[[Curving Motion]]<br />
*[[Centripetal Force and Curving Motion]]<br />
*[[Perpetual Freefall (Orbit)]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_accel Gravitational Acceleration]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:freebodydiagrams Free Body Diagrams]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:curving_motion Curved Motion]<br />
<br />
</div><br />
<br />
<br />
===Week 7===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Energy Principle=====<br />
<div class=“mw-collapsible-content”><br />
*[[The Energy Principle]]<br />
*[[Conservation of Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Work]]<br />
*[[Power (Mechanical)]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:define_energy What is Energy?]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:point_particle The Simplest System: A Single Particle]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work Work: Mechanical Energy Transfer]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_cons Conservation of Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]<br />
<br />
</div><br />
<br />
===Week 8===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Work by Non-Constant Forces=====<br />
<div \<br />
class=“mw-collapsible-content”><br />
*[[Work Done By A Nonconstant Force]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Potential Energy=====<br />
<div class=“mw-collapsible-content”><br />
*[[Potential Energy]]<br />
*[[Potential Energy of Macroscopic Springs]]<br />
*[[Spring Potential Energy]]<br />
**[[Ball and Spring Model]]<br />
*[[Gravitational Potential Energy]]<br />
*[[Energy Graphs]]<br />
*[[Escape Velocity]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work_by_nc_forces Work Done by Non-Constant Forces]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:power Power: The Rate of Energy Change]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]<br />
<br />
</div><br />
<br />
<br />
===Week 9===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Multiparticle Systems=====<br />
<div class=“mw-collapsible-content”><br />
*[[Center of Mass]]<br />
*[[Multi-particle analysis of Momentum]]<br />
*[[Momentum with respect to external Forces]]<br />
*[[Potential Energy of a Multiparticle System]]<br />
*[[Work and Energy for an Extended System]]<br />
*[[Internal Energy]]<br />
**[[Potential Energy of a Pair of Neutral Atoms]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_sep Separating Energy in Multi-Particle Systems]<br />
<br />
</div><br />
<br />
<br />
===Week 10===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Choice of System=====<br />
<div class=“mw-collapsible-content”><br />
*[[System & Surroundings]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Thermal Energy, Dissipation and Transfer of Energy=====<br />
<div \<br />
class=“mw-collapsible-content”><br />
*[[Thermal Energy]]<br />
*[[Specific Heat]]<br />
*[[Heat Capacity]]<br />
*[[Specific Heat Capacity]]<br />
*[[First Law of Thermodynamics]]<br />
*[[Second Law of Thermodynamics and Entropy]]<br />
*[[Temperature]]<br />
*[[Predicting Change]]<br />
*[[Energy Transfer due to a Temperature Difference]]<br />
*[[Transformation of Energy]]<br />
*[[The Maxwell-Boltzmann Distribution]]<br />
*[[Air Resistance]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Rotational and Vibrational Energy=====<br />
<div \<br />
class=“mw-collapsible-content”><br />
*[[Translational, Rotational and Vibrational Energy]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:escape_speed Escape Speed]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:internal_energy Internal Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]<br />
<br />
</div><br />
<br />
===Week 11===<br />
====Student Content====<br />
<div class=“toccolours \<br />
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=====Different Models of a System=====<br />
<div \<br />
class=“mw-collapsible-content”><br />
*[[Real Systems]]<br />
*[[Point Particle Systems]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
<br />
=====Models of Friction=====<br />
<div class=“mw-collapsible-content”><br />
*[[Friction]]<br />
*[[Static Friction]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]<br />
<br />
</div><br />
<br />
<br />
===Week 12===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Collisions=====<br />
<div class=“mw-collapsible-content”><br />
*[[Newton’s Third Law of Motion]]<br />
*[[Collisions]]<br />
*[[Elastic Collisions]]<br />
*[[Inelastic Collisions]]<br />
*[[Maximally Inelastic Collision]]<br />
*[[Head-on Collision of Equal Masses]]<br />
*[[Head-on Collision of Unequal Masses]]<br />
*[[Scattering: Collisions in 2D and 3D]]<br />
*[[Rutherford Experiment and Atomic Collisions]]<br />
*[[Coefficient of Restitution]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:collisions Colliding Objects]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:pp_vs_real Point Particle and Real Systems]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:colliding_systems Collisions]<br />
<br />
</div><br />
<br />
<br />
===Week 13===<br />
====Student Content====<br />
<div class=“toccolours \<br />
mw-collapsible mw-collapsed”><br />
=====Rotations=====<br />
<div class=“mw-collapsible-content”><br />
*[[Rotation]]<br />
*[[Angular Velocity]]<br />
*[[Eulerian Angles]]<br />
</div><br />
</div><br />
<div class=“toccolours mw-collapsible mw-collapsed”><br />
=====Angular Momentum=====<br />
<div class=“mw-collapsible-content”><br />
*[[Total Angular Momentum]]<br />
*[[Translational Angular Momentum]]<br />
*[[Rotational Angular Momentum]]<br />
*[[The Angular Momentum Principle]]<br />
*[[Angular Momentum Compared to Linear Momentum]]<br />
*[[Angular Impulse]]<br />
*[[Predicting the Position of a Rotating System]]<br />
*[[Angular Momentum of Multiparticle Systems]]<br />
*[[The Moments of Inertia]]<br />
*[[Moment of Inertia for a cylinder]]<br />
*[[Right Hand Rule]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]<br />
<br />
</div><br />
===Week 14===<br />
<br />
<br />
====Student Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
=====Analyzing Motion with and without Torque=====<br />
<div \<br />
class=“mw-collapsible-content”><br />
*[[Torque]]<br />
*[[Torque 2]]<br />
*[[Systems with Zero Torque]]<br />
*[[Systems with Nonzero Torque]]<br />
*[[Torque vs Work]]<br />
*[[Gyroscopes]]<br />
</div><br />
</div><br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:torque Torques Cause Changes in Rotation]<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]<br />
<br />
</div><br />
<br />
===Week 15===<br />
<br />
<br />
====Student Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
=====Introduction to Quantum Concepts=====<br />
<div \class=“mw-collapsible-content”><br />
*[[Bohr Model]]<br />
*[[Energy graphs and the Bohr model]]<br />
*[[Quantized energy levels]]<br />
</div><br />
</div><br />
<br />
<br />
====Expert Content====<br />
<div class=“toccolours mw-collapsible \<br />
mw-collapsed”><br />
<br />
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]<br />
<br />
</div><br />
<br />
<br />
<div style=“float:left; width:30%; padding:1%;”><br />
<br />
==Physics 2==<br />
===Week 1===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====3D Vectors====<br />
<div class="mw-collapsible-content"><br />
*[[Vectors]]<br />
*[[Right-Hand Rule]]<br />
*[[Right Hand Rule]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric field====<br />
<div class="mw-collapsible-content"><br />
*[[Electric Field]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric force====<br />
<div class="mw-collapsible-content"><br />
<br />
*[[Electric Force]] Claimed by Amarachi Eze<br />
*[[Lorentz Force]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
<br />
claimed by: == Ga Hyun Oh ==<br />
<br />
====Electric field of a point particle====<br />
<br />
<br />
<div class="mw-collapsible-content"><br />
*[[Point Charge]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
'''Bold text'''====Superposition====<br />
<div class="mw-collapsible-content"><br />
*[[Superposition Principle]]<br />
*[[Superposition principle]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
====Dipoles====<br />
<div class="mw-collapsible-content"><br />
Claimed by Trevor Craport <br />
*[[Electric Dipole]]<br />
*[[Magnetic Dipole]]<br />
</div><br />
</div><br />
<br />
===Week 2===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Interactions of charged objects====<br />
<div class="mw-collapsible-content"><br />
*[[Electric Field]]<br />
*[[Electric Potential]]<br />
*[[Electric Force]]<br />
*[[Lorentz Force]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Tape experiments====<br />
<div class="mw-collapsible-content"><br />
*[[Polarization]]<br />
*[[Electric Polarization]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Polarization====<br />
<div class="mw-collapsible-content"><br />
*[[Polarization]]<br />
*[[Electric Polarization]]<br />
*[[Polarization of an Atom]]<br />
</div><br />
</div><br />
<br />
===Week 3===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Insulators====<br />
<div class="mw-collapsible-content"><br />
*[[Insulators]]<br />
*[[Potential Difference in an Insulator]]<br />
*[[Charged Conductor and Charged Insulator]]<br />
*[[Charged conductor and charged insulator]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Conductors====<br />
<div class="mw-collapsible-content"><br />
*[[Conductivity]]<br />
*[[Charge Transfer]]<br />
*[[Resistivity]]<br />
*[[Polarization of a conductor]]<br />
*[[Charged Conductor and Charged Insulator]]<br />
*[[Charged conductor and charged insulator]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Charging and discharging====<br />
<div class="mw-collapsible-content"><br />
*[[Charge Transfer]]<br />
*[[Electrostatic Discharge]]<br />
*[[Charged Conductor and Charged Insulator]]<br />
*[[Charged conductor and charged insulator]]<br />
</div><br />
</div><br />
<br />
===Week 4===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Field of a charged rod====<br />
<div class="mw-collapsible-content"><br />
*[[Charged Rod]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
====Field of a charged ring/disk/capacitor====<br />
<div class="mw-collapsible-content"><br />
*[[Charged Ring]]<br />
*[[Charged Disk]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Field of a charged sphere====<br />
<div class="mw-collapsible-content"><br />
*[[Charged Spherical Shell]]<br />
*[[Field of a Charged Ball]]<br />
</div><br />
</div><br />
<br />
===Week 5===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Potential energy====<br />
<div class="mw-collapsible-content"><br />
*[[Potential Energy]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric potential====<br />
<div class="mw-collapsible-content"><br />
*[[Electric Potential]]<br />
*[[Path Independence of Electric Potential]]<br />
*[[Potential DIfference Path Independence]]<br />
*[[Potential Difference in a Uniform Field]]<br />
*[[Potential Difference of Point Charge in a Non-Uniform Field]]<br />
</div><br />
</div><br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Sign of a potential difference====<br />
<div class="mw-collapsible-content"><br />
*[[Sign of a Potential Difference, claimed by Tyler Quill]]<br />
</div><br />
<br />
== Claimed by Tyler Quill ==<br />
<br />
</div><br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
====Potential at a single location====<br />
<div class="mw-collapsible-content"><br />
*[[Electric Potential]]<br />
*[[Potential Difference at One Location]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
====Path independence and round trip potential====<br />
<div class="mw-collapsible-content"><br />
*[[Path Independence of Electric Potential]]<br />
*[[Potential DIfference Path Independence]]<br />
</div><br />
</div><br />
<br />
===Week 6===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric field and potential in an insulator====<br />
<div class="mw-collapsible-content"><br />
*[[Potential Difference in an Insulator]]<br />
</div><br />
</div><br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Moving charges in a magnetic field====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Field]]<br />
*[[Magnetic Force]]<br />
*[[Lorentz Force]]<br />
</div><br />
</div><br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Biot-Savart Law====<br />
<div class="mw-collapsible-content"><br />
*[[Biot-Savart Law]]<br />
*[[Biot-Savart Law for Currents]]<br />
</div><br />
</div><br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Moving charges, electron current, and conventional current====<br />
<div class="mw-collapsible-content"><br />
*[[Moving Point Charge]]<br />
*[[Curent]]<br />
</div><br />
</div><br />
<br />
===Week 7===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic field of a wire====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Field of a Long Straight Wire]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic field of a current-carrying loop====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Field of a Loop]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic dipoles====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Dipole Moment]]<br />
*[[Bar Magnet]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Atomic structure of magnets====<br />
<div class="mw-collapsible-content"><br />
*[[Atomic Structure of Magnets]]<br />
</div><br />
</div><br />
<br />
===Week 8===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Steady state current====<br />
<div class="mw-collapsible-content"><br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Node rule====<br />
<div class="mw-collapsible-content"><br />
*[[Node Rule]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric fields and energy in circuits====<br />
<div class="mw-collapsible-content"><br />
*[[Series circuit]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Macroscopic analysis of circuits====<br />
<div class="mw-collapsible-content"><br />
*[[Series Circuits]]<br />
*[[Parallel CIrcuits]]<br />
*[[Parallel Circuits vs. Series Circuits*]]<br />
*[[Loop Rule]]<br />
*[[Node Rule]]<br />
</div><br />
</div><br />
<br />
===Week 9===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric field and potential in circuits with capacitors====<br />
<div class="mw-collapsible-content"><br />
*[[Charging and Discharging a Capacitor]]<br />
*[[RC Circuit]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic forces on charges and currents====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Force]]<br />
*[[Lorentz Force]]<br />
*[[Applying Magnetic Force to Currents]]<br />
*[[Magnetic Force in a Moving Reference Frame]]<br />
*[[Right-Hand Rule]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Electric and magnetic forces====<br />
<div class="mw-collapsible-content"><br />
*[[Electric Force]]<br />
*[[Magnetic Force]]<br />
*[[Lorentz Force]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Velocity selector====<br />
<div class="mw-collapsible-content"><br />
*[[Lorentz Force]]<br />
*[[Combining Electric and Magnetic Forces]]<br />
</div><br />
</div><br />
<br />
===Week 10===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====The Hall effect====<br />
<div class="mw-collapsible-content"><br />
*[[Hall Effect]]<br />
*[[Right-Hand Rule]]<br />
*[[Polarization]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Motional EMF====<br />
<div class="mw-collapsible-content"><br />
*[[Motional Emf]]<br />
*[[Motional Emf using Faraday's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic force====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Force]]<br />
*[[Lorentz Force]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Magnetic torque====<br />
<div class="mw-collapsible-content"><br />
*[[Magnetic Torque]]<br />
*[[Right-Hand Rule]]<br />
</div><br />
</div><br />
<br />
===Week 12===<br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Gauss's Law====<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Flux Theorem]]<br />
*[[Gauss's Law]]<br />
*[[Magnetic Flux]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Ampere's Law====<br />
<div class="mw-collapsible-content"><br />
*[[Ampere's Law]]<br />
*[[Ampere-Maxwell Law]]<br />
*[[Magnetic Field of Coaxial Cable Using Ampere's Law]]<br />
*[[Magnetic Field of a Long Thick Wire Using Ampere's Law]]<br />
*[[Magnetic Field of a Toroid Using Ampere's Law]]<br />
*[[Magnetic Field of a Solenoid Using Ampere's Law]]<br />
*[[The Differential Form of Ampere's Law]]<br />
</div><br />
</div><br />
<br />
===Week 13===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Semiconductors====<br />
<div class="mw-collapsible-content"><br />
*[[Semiconductor Devices]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Faraday's Law====<br />
<div class="mw-collapsible-content"><br />
*[[Faraday's Law]]<br />
*[[Motional Emf using Faraday's Law]]<br />
*[[Lenz's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Maxwell's equations====<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Law]]<br />
*[[Magnetic Flux]]<br />
*[[Ampere's Law]]<br />
*[[Faraday's Law]]<br />
*[[Maxwell's Electromagnetic Theory]]<br />
</div><br />
</div><br />
<br />
===Week 14===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Circuits revisited====<br />
<div class="mw-collapsible-content"><br />
<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Inductors====<br />
<div class="mw-collapsible-content"><br />
*[[Inductors]]<br />
*[[Current in an LC Circuit]]<br />
</div><br />
</div><br />
<br />
===Week 15===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Sparks in the air====<br />
<div class="mw-collapsible-content"><br />
*[[Sparks in Air]]<br />
*[[Spark Plugs]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Superconductors====<br />
<div class="mw-collapsible-content"><br />
*[[Superconducters]]<br />
*[[Superconductors]]<br />
*[[Meissner effect]]<br />
</div><br />
</div><br />
</div><br />
<br />
<div style="float:left; width:30%; padding:1%;"><br />
<br />
==Physics 3==<br />
<br />
===Week 1===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Classical Physics====<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
===Week 2===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Special Relativity====<br />
<div class="mw-collapsible-content"><br />
*[[Frame of Reference]]<br />
*[[Einstein's Theory of Special Relativity]]<br />
*[[Time Dilation]]<br />
*[[Einstein's Theory of General Relativity]]<br />
*[[Albert A. Micheleson & Edward W. Morley]]<br />
*[[Magnetic Force in a Moving Reference Frame]]<br />
</div><br />
</div><br />
<br />
===Week 3===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Photons====<br />
<div class="mw-collapsible-content"><br />
*[[Spontaneous Photon Emission]]<br />
*[[Light Scattering: Why is the Sky Blue]]<br />
*[[Lasers]]<br />
*[[Electronic Energy Levels and Photons]]<br />
*[[Quantum Properties of Light]]<br />
</div><br />
</div><br />
<br />
===Week 4===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Matter Waves====<br />
<div class="mw-collapsible-content"><br />
*[[Wave-Particle Duality]]<br />
</div><br />
</div><br />
<br />
===Week 5===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Wave Mechanics====<br />
<div class="mw-collapsible-content"><br />
*[[Standing Waves]]<br />
*[[Wavelength]]<br />
*[[Wavelength and Frequency]]<br />
*[[Mechanical Waves]]<br />
*[[Transverse and Longitudinal Waves]]<br />
</div><br />
</div><br />
<br />
===Week 6===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Rutherford-Bohr Model====<br />
<div class="mw-collapsible-content"><br />
*[[Rutherford Experiment and Atomic Collisions]]<br />
*[[Bohr Model]]<br />
*[[Quantized energy levels]]<br />
*[[Energy graphs and the Bohr model]]<br />
</div><br />
</div><br />
<br />
===Week 7===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====The Hydrogen Atom====<br />
<div class="mw-collapsible-content"><br />
*[[Quantum Theory]]<br />
*[[Atomic Theory]]<br />
</div><br />
</div><br />
<br />
===Week 8===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Many-Electron Atoms====<br />
<div class="mw-collapsible-content"><br />
*[[Quantum Theory]]<br />
*[[Atomic Theory]]<br />
*[[Pauli exclusion principle]]<br />
</div><br />
</div><br />
<br />
===Week 9===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Molecules====<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
===Week 10===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Statistical Physics====<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
===Week 11===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Condensed Matter Physics====<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
===Week 12===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====The Nucleus====<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
===Week 13===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Nuclear Physics====<br />
<div class="mw-collapsible-content"><br />
*[[Nuclear Fission]]<br />
*[[Nuclear Energy from Fission and Fusion]]<br />
</div><br />
</div><br />
<br />
===Week 14===<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
====Particle Physics====<br />
<div class="mw-collapsible-content"><br />
*[[Elementary Particles and Particle Physics Theory]]<br />
*[[String Theory]]<br />
</div><br />
</div></div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Work&diff=19631Work2015-12-06T04:28:01Z<p>Jkim3173: /* History */</p>
<hr />
<div>Author: Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Work perhaps is a term that most of the people are commonly exposed to. People often use the term "work" to describe their jobs, the amount of energy they had to input to get something done, or even when they describe their gym and their routine exercise. To physicists however, work has a rather specific definition. In physics, work refers to the "efficiency" of the force. A force is doing "work" when acting upon a matter or a particle if it causes the matter to move or change in displacement. <br />
<br />
For some people, the new rather absurd concept of work may be a bit confusing. It is important to take consider of the three so called "ingredients" when determining work. Those ingredients are the force, displacement and a cause. The force must "cause" the change in displacement in order to be doing work. <br />
<br />
[[File:SimpleWork.png]]<br />
<br />
While work may seem like a simple concept, it is nonetheless extremely essential in physics calculations as it is a core aspect of a fundamental principle, the conservation of energy. This will be further discussed in the "connections" part where the individual source of energy work takes part to take role in the transfer of energy from the surrounding to a system or from the system to the surrounding to contribute to the conservation of energy. <br />
<br />
===A Mathematical Model===<br />
<br />
There are a few mathematical formulas to determine or calculate the amount of work done by the force. These formulas could be a bit different from situations to situations.<br />
<br />
First of all, the formula for work is different according to the consistency of the force.<br />
<br />
1) When the work is done by a constant force: <br />
<br />
<math> W=\overrightarrow{F}\bullet\overrightarrow{dr}\cos\theta.</math><br />
<br />
[[File:W=FdCostheta.jpg]]<br />
<br />
It is important to note that when the direction of the force is equal to the direction of the displacement, the "theta" aspect of this equation is equal to 0, meaning that cos(0) will just be 1 and the formula can further be simplified to W = Fd. <br />
<br />
2) When the work is done by a non-constant force: <br />
<br />
<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math><br />
<br />
This might be a little easier to understand for those who have exposure to calculus. In more of simpler words, the work done by a non-constant force is the product of the summation of the forces that acts upon a system and the change in position of the system. This could be denoted by the usage of a calculus term integral; work is equal to the integral of the force in respect to change in displacement.<br />
<br />
3) When work is done by gravity: <br />
<br />
<math>W = F_g (y_2 - y_1) = F_g\Delta y = - mg\Delta y</math><br />
<br />
Notice that this is exact same formula as explained in number one, when the work is done by a constant force, except it is more specified. Theta was neglected because the direction of the gravitational pull was the same as change in height. Notice that this is also similar to the formula for change in potential energy, which is:<br />
<br />
<math>\Delta PE = mg\Delta y</math>. <br />
<br />
From this we can conclude that: <br />
<br />
<math>W = -\Delta PE.</math><br />
<br />
===A Computational Model===<br />
<br />
The work done on the system by the surrounding is dependent on the system that on decides to choose. For example, if one decides to include earth as a part of the system while calculating the different forms of energies, the work done is 0. However, if one decides to count earth as the surrounding, there is work done by earth but the potential energy from the previous case is eliminated. <br />
<br />
Because it is more difficult to use the momentum principle to update position of an object in motion, we typically did not use the earth as a surrounding. Rather, we used earth as part of the system and calculated gravitational force as net force. The example of the code is below; <br />
<br />
[[File:Code1J.png]]<br />
[[File:Code2J.png]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
'''A person picks up a 2kg box from the ground and lifts it up, moves 6 meters forward, and puts the box back down to the ground. What is the work done?''' <br />
<br />
''Solution:''<br />
<br />
The essence of this question is to apply the fact that the direction and the force has to be the same. Did the person apply a force in x direction? No. Thus, the x component of work is 0.<br />
<br />
What about the Y component? Yes, the person did work against gravity. The magnitude of the work done when he pulled the box up can be calculated by the product of the mass, the gravitational acceleration, and the change in height (y). However, the overall change in displacement in terms of Y is 0, because he puts it back down. <br />
<br />
Thus, the answer for this simple problem is 0.<br />
<br />
===Middling===<br />
<br />
'''Jack and Jill are maneuvering a 3200 kg boat near a dock. Initially the boat's position is < 2, 0, 3 > m and its speed is 1.1 m/s. As the boat moves to position < 4, 0, 2 > m, Jack exerts a force of < -430, 0, 215 > N, and Jill exerts a force of < 150, 0, 300 > N.<br />
<br />
a. How much work does Jack do?<br />
<br />
b. How much work does Jill do? <br />
<br />
c. What is the final speed of the boat?''' <br />
<br />
''Solutions:''<br />
<br />
a) The work done is addition of all the components (x,y and z) So the calculation goes:<br />
<br />
<math>Wjack = -430 * (4-2) + 0 * 0 + 215 * (2-3) = -1075 </math><br />
<br />
b) The work done by Jill is calculated the same<br />
<br />
<math>Wjill = 150 * (4-2) + 0 * 0 + 300 * (2-3) = 0 </math><br />
<br />
c) To calculate the final speed, one must use the momentum principle. The two forms of energy present in this calculation is the kinetic energy and the work done. Thus, <br />
<br />
<math> Ki + W = Kf </math><br />
<math> KE = 1/2 * mass * V^2 </math><br />
<br />
Thus, <br />
<br />
<math> Ki = 0.5 * 3200 * 1.1 ^ 2 = 1936J </math><br />
<br />
<math> Kf = 1936 - 1075 = 861J </math><br />
<br />
<math> Kf = 1/2 * mass * Vf^2 = 861 </math><br />
<br />
<math> Vf = 0.73 </math><br />
<br />
===Difficult===<br />
<br />
[[File:Test4Work.png]]<br />
<br />
a. How far did the center of mass of the extended system move<br />
<br />
[[File:Test4Work2.png]]<br />
<br />
The main idea is that we have to calculate the change in displacement of the center of the mass not the force. Thus, we have to get the initial center of the mass, which is between x1 and x2, and the final position of the center of the mass, which is between x3 and x4. Getting the difference between two can yield the movement of the center of the mass. <br />
<br />
b. Use the point particle system to determine the velocity of the center of mass for the system. <br />
<br />
[[File:Test4Work3.png]]<br />
<br />
In the point particle system, we only take account of the kinetic transnational energy, and this is equivalent to the work done. The work is simply the change in displacement multiplied by the force. In this case, because there are two forces F1 and F2, one must calculate the edition of the both to get the net force. <br />
<br />
C. Use the extended system to determine the final vibrational energy of the extended system. <br />
<br />
[[File:Test4Work4.png]]<br />
<br />
In the extended system, we take acount of the kinetic transitional energy and the vibrational, of which sum is equivalent to the work.<br />
<br />
==Connectedness==<br />
1. How does this topic contribute to the overall physics?<br />
<br />
The concept of work, seemingly an individual concept, is actually an essential part of the fundamental principle, the energy principle. According to the energy principle, the energy of a system is conserved unless the surrounding exerts a force upon the system. This force, when it causes the system to move, is called the work done by surrounding. Thus, it is important to consider work as part of the transitions in energy.<br />
Thus, when calculating the final and initial states of the potential and kinetic energy of a system after the work has been done, one can use the following formula: <br />
<br />
[[File:Form1work.png]]<br />
<br />
<br />
2. How is this topic connected to something that you are interested in?<br />
<br />
I a first year biomedical engineering major so I had to think a bit deeper to answer this question. I have concluded that the concept of work is actually prevalent throughout our body physiology. For example, in order for kinetic energy and potential energy of the muscles cells in our body to be changed, there must be an external force acting upon it changing its displacement. This concept is actually used especially in tissue engineering or biomechanics, which I would love to delve into in the future. <br />
<br />
3. Is there an interesting industrial application?<br />
<br />
Biomedical engineering is rather distant from the concept of work from other majors. Mechanical Engineering majors have a variety of interesting industrial applications that utilizes the concept of work. For example, when designing the engines of an airplane, mechanical engineers must take account of the work done by the engines of the airplane to win the gravitational pull that would attempt to crash the airplane. Without this concept of work, airplanes would not work.<br />
<br />
==History==<br />
<br />
The concept of work developed with the concept of conservation of energy. In 1918, the law of conservation energy was proved by a number of scientists, and the concept of work was not developed by a specific person at a specific time.<br />
<br />
== See also ==<br />
<br />
[[The Energy Principle]]<br />
<br />
[[Kinetic Energy]]<br />
<br />
[[Thermal Energy]]<br />
<br />
[[Conservation of Energy]]<br />
<br />
===Further reading===<br />
<br />
http://www.physicsclassroom.com/class/energy<br />
<br />
===External links===<br />
<br />
https://www.khanacademy.org/science/physics/work-and-energy<br />
<br />
Khan academy does a great job in thoroughly explaining the concept of work using visualizations.<br />
<br />
==References==<br />
<br />
http://www.physicsclassroom.com/class/energy</div>Jkim3173http://www.physicsbook.gatech.edu/index.php?title=Work&diff=19613Work2015-12-06T04:26:28Z<p>Jkim3173: </p>
<hr />
<div>Author: Jae Hyun Kim<br />
<br />
==The Main Idea==<br />
<br />
Work perhaps is a term that most of the people are commonly exposed to. People often use the term "work" to describe their jobs, the amount of energy they had to input to get something done, or even when they describe their gym and their routine exercise. To physicists however, work has a rather specific definition. In physics, work refers to the "efficiency" of the force. A force is doing "work" when acting upon a matter or a particle if it causes the matter to move or change in displacement. <br />
<br />
For some people, the new rather absurd concept of work may be a bit confusing. It is important to take consider of the three so called "ingredients" when determining work. Those ingredients are the force, displacement and a cause. The force must "cause" the change in displacement in order to be doing work. <br />
<br />
[[File:SimpleWork.png]]<br />
<br />
While work may seem like a simple concept, it is nonetheless extremely essential in physics calculations as it is a core aspect of a fundamental principle, the conservation of energy. This will be further discussed in the "connections" part where the individual source of energy work takes part to take role in the transfer of energy from the surrounding to a system or from the system to the surrounding to contribute to the conservation of energy. <br />
<br />
===A Mathematical Model===<br />
<br />
There are a few mathematical formulas to determine or calculate the amount of work done by the force. These formulas could be a bit different from situations to situations.<br />
<br />
First of all, the formula for work is different according to the consistency of the force.<br />
<br />
1) When the work is done by a constant force: <br />
<br />
<math> W=\overrightarrow{F}\bullet\overrightarrow{dr}\cos\theta.</math><br />
<br />
[[File:W=FdCostheta.jpg]]<br />
<br />
It is important to note that when the direction of the force is equal to the direction of the displacement, the "theta" aspect of this equation is equal to 0, meaning that cos(0) will just be 1 and the formula can further be simplified to W = Fd. <br />
<br />
2) When the work is done by a non-constant force: <br />
<br />
<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math><br />
<br />
This might be a little easier to understand for those who have exposure to calculus. In more of simpler words, the work done by a non-constant force is the product of the summation of the forces that acts upon a system and the change in position of the system. This could be denoted by the usage of a calculus term integral; work is equal to the integral of the force in respect to change in displacement.<br />
<br />
3) When work is done by gravity: <br />
<br />
<math>W = F_g (y_2 - y_1) = F_g\Delta y = - mg\Delta y</math><br />
<br />
Notice that this is exact same formula as explained in number one, when the work is done by a constant force, except it is more specified. Theta was neglected because the direction of the gravitational pull was the same as change in height. Notice that this is also similar to the formula for change in potential energy, which is:<br />
<br />
<math>\Delta PE = mg\Delta y</math>. <br />
<br />
From this we can conclude that: <br />
<br />
<math>W = -\Delta PE.</math><br />
<br />
===A Computational Model===<br />
<br />
The work done on the system by the surrounding is dependent on the system that on decides to choose. For example, if one decides to include earth as a part of the system while calculating the different forms of energies, the work done is 0. However, if one decides to count earth as the surrounding, there is work done by earth but the potential energy from the previous case is eliminated. <br />
<br />
Because it is more difficult to use the momentum principle to update position of an object in motion, we typically did not use the earth as a surrounding. Rather, we used earth as part of the system and calculated gravitational force as net force. The example of the code is below; <br />
<br />
[[File:Code1J.png]]<br />
[[File:Code2J.png]]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
<br />
'''A person picks up a 2kg box from the ground and lifts it up, moves 6 meters forward, and puts the box back down to the ground. What is the work done?''' <br />
<br />
''Solution:''<br />
<br />
The essence of this question is to apply the fact that the direction and the force has to be the same. Did the person apply a force in x direction? No. Thus, the x component of work is 0.<br />
<br />
What about the Y component? Yes, the person did work against gravity. The magnitude of the work done when he pulled the box up can be calculated by the product of the mass, the gravitational acceleration, and the change in height (y). However, the overall change in displacement in terms of Y is 0, because he puts it back down. <br />
<br />
Thus, the answer for this simple problem is 0.<br />
<br />
===Middling===<br />
<br />
'''Jack and Jill are maneuvering a 3200 kg boat near a dock. Initially the boat's position is < 2, 0, 3 > m and its speed is 1.1 m/s. As the boat moves to position < 4, 0, 2 > m, Jack exerts a force of < -430, 0, 215 > N, and Jill exerts a force of < 150, 0, 300 > N.<br />
<br />
a. How much work does Jack do?<br />
<br />
b. How much work does Jill do? <br />
<br />
c. What is the final speed of the boat?''' <br />
<br />
''Solutions:''<br />
<br />
a) The work done is addition of all the components (x,y and z) So the calculation goes:<br />
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<math>Wjack = -430 * (4-2) + 0 * 0 + 215 * (2-3) = -1075 </math><br />
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b) The work done by Jill is calculated the same<br />
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<math>Wjill = 150 * (4-2) + 0 * 0 + 300 * (2-3) = 0 </math><br />
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c) To calculate the final speed, one must use the momentum principle. The two forms of energy present in this calculation is the kinetic energy and the work done. Thus, <br />
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<math> Ki + W = Kf </math><br />
<math> KE = 1/2 * mass * V^2 </math><br />
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Thus, <br />
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<math> Ki = 0.5 * 3200 * 1.1 ^ 2 = 1936J </math><br />
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<math> Kf = 1936 - 1075 = 861J </math><br />
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<math> Kf = 1/2 * mass * Vf^2 = 861 </math><br />
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<math> Vf = 0.73 </math><br />
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===Difficult===<br />
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[[File:Test4Work.png]]<br />
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a. How far did the center of mass of the extended system move<br />
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[[File:Test4Work2.png]]<br />
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The main idea is that we have to calculate the change in displacement of the center of the mass not the force. Thus, we have to get the initial center of the mass, which is between x1 and x2, and the final position of the center of the mass, which is between x3 and x4. Getting the difference between two can yield the movement of the center of the mass. <br />
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b. Use the point particle system to determine the velocity of the center of mass for the system. <br />
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[[File:Test4Work3.png]]<br />
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In the point particle system, we only take account of the kinetic transnational energy, and this is equivalent to the work done. The work is simply the change in displacement multiplied by the force. In this case, because there are two forces F1 and F2, one must calculate the edition of the both to get the net force. <br />
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C. Use the extended system to determine the final vibrational energy of the extended system. <br />
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[[File:Test4Work4.png]]<br />
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In the extended system, we take acount of the kinetic transitional energy and the vibrational, of which sum is equivalent to the work.<br />
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==Connectedness==<br />
1. How does this topic contribute to the overall physics?<br />
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The concept of work, seemingly an individual concept, is actually an essential part of the fundamental principle, the energy principle. According to the energy principle, the energy of a system is conserved unless the surrounding exerts a force upon the system. This force, when it causes the system to move, is called the work done by surrounding. Thus, it is important to consider work as part of the transitions in energy.<br />
Thus, when calculating the final and initial states of the potential and kinetic energy of a system after the work has been done, one can use the following formula: <br />
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[[File:Form1work.png]]<br />
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2. How is this topic connected to something that you are interested in?<br />
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I a first year biomedical engineering major so I had to think a bit deeper to answer this question. I have concluded that the concept of work is actually prevalent throughout our body physiology. For example, in order for kinetic energy and potential energy of the muscles cells in our body to be changed, there must be an external force acting upon it changing its displacement. This concept is actually used especially in tissue engineering or biomechanics, which I would love to delve into in the future. <br />
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3. Is there an interesting industrial application?<br />
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Biomedical engineering is rather distant from the concept of work from other majors. Mechanical Engineering majors have a variety of interesting industrial applications that utilizes the concept of work. For example, when designing the engines of an airplane, mechanical engineers must take account of the work done by the engines of the airplane to win the gravitational pull that would attempt to crash the airplane. Without this concept of work, airplanes would not work.<br />
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==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
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== See also ==<br />
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[[The Energy Principle]]<br />
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[[Kinetic Energy]]<br />
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[[Thermal Energy]]<br />
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[[Conservation of Energy]]<br />
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===Further reading===<br />
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http://www.physicsclassroom.com/class/energy<br />
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===External links===<br />
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https://www.khanacademy.org/science/physics/work-and-energy<br />
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Khan academy does a great job in thoroughly explaining the concept of work using visualizations.<br />
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==References==<br />
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http://www.physicsclassroom.com/class/energy</div>Jkim3173