Magnetic Dipole

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,

then the equation for the magnetic field induced by the dipole is:

If the observation location is placed along the X axis like the image below

then the equation for the magnetic field induced by the dipole is:

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

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