# Magnetic Dipole Moment - Vector Orientation

• sotnet

#### sotnet

Guys,

I don't quite understand the concept of magnetic dipole moment as a vector.

Suppose we have a magnet (like a rod) in 3 dimensional space. North pole at (0, 0, 0) and South pole at (0, 1, 0).

How would the magnetic dipole vector $$\vec{m}$$ be oriented?

Thanks.

sotnet said:
I don't quite understand the concept of magnetic dipole moment as a vector.

Probably because it doesn't make much sense as a vector. Roughly speaking, it probably better described as a plane (bivector) quantity. ie: the vector is just the normal to the plane that the current is circulating in. You can describe this plane and the orientation of the current using this normal vector (often called the dual of the plane), or can describe it as an oriented plane directly (bivector).

As to your specific equation of how this vector is oriented with your example poles, it appears that

http://en.wikipedia.org/wiki/Dipole

sotnet said:
Guys,

I don't quite understand the concept of magnetic dipole moment as a vector.

Suppose we have a magnet (like a rod) in 3 dimensional space. North pole at (0, 0, 0) and South pole at (0, 1, 0).

How would the magnetic dipole vector $$\vec{m}$$ be oriented?

Thanks.
In the negative y direction.

## 1. What is a magnetic dipole moment?

A magnetic dipole moment is a measure of the strength and orientation of a magnetic dipole, which is a pair of equal and opposite magnetic poles separated by a small distance.

## 2. How is the magnetic dipole moment defined?

The magnetic dipole moment is defined as the product of the strength of one of the magnetic poles and the distance between them.

## 3. What is the significance of the vector orientation of the magnetic dipole moment?

The vector orientation of the magnetic dipole moment determines the direction in which the magnetic field produced by the dipole is oriented. This is important in understanding the behavior of magnetic materials and their interactions with other magnetic fields.

## 4. How is the vector orientation of the magnetic dipole moment represented?

The vector orientation of the magnetic dipole moment is represented by an arrow pointing from the negative pole to the positive pole of the dipole.

## 5. Can the vector orientation of the magnetic dipole moment change?

Yes, the vector orientation of the magnetic dipole moment can change if the direction of the magnetic field or the position of the dipole is altered. It can also change in response to external magnetic fields.