Magnetic Dipole - Revision history

Sborg3: The physicist that observed a possible magnetic monopole in 1982 is Blas Cabrera Navarro, not to be confused with his grandfather, Blas Cabrera Felipe, who was also a physicist but died in 1945, long before the claimed observation. Also very slightly tweaked the language so that the text does not state in absolute terms that this observation was definitely due to a magnetic monopole.

2026-06-19T16:41:08Z

The physicist that observed a possible magnetic monopole in 1982 is Blas Cabrera Navarro, not to be confused with his grandfather, Blas Cabrera Felipe, who was also a physicist but died in 1945, long before the claimed observation. Also very slightly tweaked the language so that the text does not state in absolute terms that this observation was definitely due to a magnetic monopole.

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	Although electrostatics and magnetics have a lot in common, one difference is that magnetic poles cannot exist singly like charges can. Poles always come in N/S pairs. If you were to cut a bar magnet in half, you will get two new magnets with North and South poles.		Although electrostatics and magnetics have a lot in common, one difference is that magnetic poles cannot exist singly like charges can. Poles always come in N/S pairs. If you were to cut a bar magnet in half, you will get two new magnets with North and South poles.

	A magnetic monopole was observed once, by [https://en.wikipedia.org/wiki/~~Blas_Cabrera~~ \| Blas Cabrera], on February 14, 1982 (also known as the Valentine's Day Monopole). However, this experiment has been recreated several times, and no one, not even Cabrera himself, has been able to find another monopole.		A possible magnetic monopole was observed once, by [https://en.wikipedia.org/wiki/Blas_Cabrera_Navarro\| Blas Cabrera Navarro], on February 14, 1982 (also known as the Valentine's Day Monopole). However, this experiment has been recreated several times, and no one, not even Cabrera himself, has been able to find another monopole.

	===Magnetic North vs Geographic North===		===Magnetic North vs Geographic North===

Zeynepuzun: /* Magnetic Flux and Degaussing Coils */

2025-12-01T17:58:28Z

Magnetic Flux and Degaussing Coils

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	[[File:Degaussing_coils.jpg]]		[[File:Degaussing_coils.jpg]]
	[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]		[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]

	This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.		This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.

Zeynepuzun: /* Magnetic Flux and Degaussing Coils */

2025-12-01T17:58:19Z

Magnetic Flux and Degaussing Coils

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	[[File:Degaussing_coils.jpg]]		[[File:Degaussing_coils.jpg]]
			[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]
	This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.		This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.

	In some robotics applications, like robotic soccer in my case, we use solenoids to rapidly accelerate iron cores to kick soccer balls at high velocities. The precise calculations to figure out how much acceleration the core is under and how the magnetic field affects it are immensely complex and require a lot of compute power and time, but we can use the dipole moment calculation to get a decent idea of how much energy is being imparted and a rough idea of the acceleration we are dealing with in order to figure out how long to energize the coil to get the ball to a specific velocity.		In some robotics applications, like robotic soccer in my case, we use solenoids to rapidly accelerate iron cores to kick soccer balls at high velocities. The precise calculations to figure out how much acceleration the core is under and how the magnetic field affects it are immensely complex and require a lot of compute power and time, but we can use the dipole moment calculation to get a decent idea of how much energy is being imparted and a rough idea of the acceleration we are dealing with in order to figure out how long to energize the coil to get the ball to a specific velocity.


	===Industrial Application===		===Industrial Application===

Zeynepuzun: /* A Mathematical Model */

2025-12-01T17:57:14Z

A Mathematical Model

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	From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.		From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.

	[[File:~~current_loop~~.~~JPG~~]]		[[File:Currentloopfixed.png]]

	However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal [http://www.physicsbook.gatech.edu/Bar_Magnet\| bar magnets], 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.		However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal [http://www.physicsbook.gatech.edu/Bar_Magnet\| bar magnets], 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.

Zeynepuzun: /* Connection With Magnetic Fields in Loops of Wire */

2025-12-01T17:52:21Z

Connection With Magnetic Fields in Loops of Wire

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	We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)		We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)

	[[File:~~DipoleField~~.~~jpg~~]]		[[File:Dipolepattern.png]]

	One of the most important things to note about the dipole simplification is that it grants us the ability to calculate dipole moment, a measure of the polarity of the dipole, which aids in calculations regarding the energy and forces involved in iterating with the dipole. This is especially useful for dealing with current in a loop of wire, as it does not resemble a traditional dipole. Once you have the moment you can use all of the nice dipole formulas instead of trying to treat it as coils of wire.		One of the most important things to note about the dipole simplification is that it grants us the ability to calculate dipole moment, a measure of the polarity of the dipole, which aids in calculations regarding the energy and forces involved in iterating with the dipole. This is especially useful for dealing with current in a loop of wire, as it does not resemble a traditional dipole. Once you have the moment you can use all of the nice dipole formulas instead of trying to treat it as coils of wire.

Zeynepuzun: /* Direction of Dipole Moment */

2025-12-01T17:49:19Z

Direction of Dipole Moment

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	It is also important to note the direction of the dipole moment. In a bar magnet the dipole moment will be wrapping from the North end of the magnet until it faces the South end of the magnet in a traditional dipole fashion and field pattern.		It is also important to note the direction of the dipole moment. In a bar magnet the dipole moment will be wrapping from the North end of the magnet until it faces the South end of the magnet in a traditional dipole fashion and field pattern.

	~~[[File:Magdidirection.gif]]~~

	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.		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.

Zeynepuzun: /* Connection With Magnetic Fields in Loops of Wire */

2025-12-01T17:48:45Z

Connection With Magnetic Fields in Loops of Wire

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	One of the most important things to recognize is the similarity between an obvious dipole like a bar magnet and what occurs when current flows through a loop of wire and how that allows us to perform calculations much easier. Current moving in a closed loop will create a dipole magnetic field as shown below.		One of the most important things to recognize is the similarity between an obvious dipole like a bar magnet and what occurs when current flows through a loop of wire and how that allows us to perform calculations much easier. Current moving in a closed loop will create a dipole magnetic field as shown below.

	[[File:~~WireLoopDipole~~.png]]		[[File:Magdipim2.png]]

	We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)		We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)

Zeynepuzun: /* The Main Idea */

2025-12-01T17:44:20Z

The Main Idea

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	A common example of a macroscopic magnetic dipole is a common permanent magnet such as a bar magnet. These magnets will produce a magnetic field everywhere in space and the force varies only with observation position. This is very similar to an electric dipole, but instead of electrical charges, we have magnetic ones, represented by the North and South poles. Just like with positively and negatively charged ions, like charges repel, and opposite charges attract.		A common example of a macroscopic magnetic dipole is a common permanent magnet such as a bar magnet. These magnets will produce a magnetic field everywhere in space and the force varies only with observation position. This is very similar to an electric dipole, but instead of electrical charges, we have magnetic ones, represented by the North and South poles. Just like with positively and negatively charged ions, like charges repel, and opposite charges attract.

	~~[[File:Magnetic_dipole.jpg]]~~

	Since magnets always have two poles, the magnetic field produced is that of a magnetic dipole. The North pole is analogous to a positive charge and South to a negative charge, in that the field lines flow out from the North pole into the South pole.		Since magnets always have two poles, the magnetic field produced is that of a magnetic dipole. The North pole is analogous to a positive charge and South to a negative charge, in that the field lines flow out from the North pole into the South pole.

	[[File:~~Magnetificdipole1~~.~~jpg~~]]		[[File:Magdipoledraw.png]]

	===Major Distinction from Electrical Dipoles===		===Major Distinction from Electrical Dipoles===

Zeynepuzun at 17:38, 1 December 2025

2025-12-01T17:38:49Z

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	Claimed by Zeynep Uzun (Fall 2025)		Claimed by '''Zeynep Uzun (Fall 2025)'''

	==The Main Idea==		==The Main Idea==

Zeynepuzun: /* Middling */

2025-12-01T17:38:04Z

Middling

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	;'''Example 1'''		;'''Example 1'''
	: When a compass is placed 20 cm away from a bar magnet parallel to the x-axis and shows deflection of 20 degrees, what is the magnitude of the magnetic dipole moment? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>		: When a compass is placed 20 cm away from a bar magnet parallel to the x-axis and shows deflection of 20 degrees, what is the magnitude of the magnetic dipole moment? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>

			;Example 2
			: A bar magnet is placed a distance 15 cm to the right of a compass that originally points North. After the magnet is placed next to the compass, the needle of the compass deflects 45 degrees to the west. What is the magnitude of the magnetic moment of the bar magnet? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>


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	<math> \mu = 0.292 A*M^2</math>		<math> \mu = 0.292 A*M^2</math>

			'''Example 2 Solution'''

			Follow a similar process as described above. The solution is <math> \mu = 0.675 A*M^2</math>

	</div>		</div>
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