Magnetic Dipole: Difference between revisions
| Line 11: | Line 11: | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
The main equation for a magnetic dipole is: | The main equation for a magnetic dipole is: | ||
[[File:Magneticdipole1.JPG]] | |||
where I is the current, and A is the cross sectional area. | |||
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. | |||
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius. | |||
[[File:loopmag.JPG]] | |||
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. | |||
There are two equations based on the observation location. | |||
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below, | |||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 16:04, 17 April 2016
Short Description of Topic Claimed by Jae Hyun Kim
The Main Idea
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.
A Mathematical Model
The main equation for a magnetic dipole is:
where I is the current, and A is the cross sectional area.
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.
From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.
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.
There are two equations based on the observation location.
If the observation location is perpendicularly placed, meaning that the object is along the y axis of the dipole like the image below,
A Computational Model
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