What is the magnetic dipole moment?

Question

A magnet in the form of a cylindrical rod has a length of 50 cm and a diameter of 1 cm. It has a uniform magnetization of 5.30 x 10^3 A/m. What is the magnetic dipole moment?

Answer 1

Given:

r = 0.5cm = 0.005m

L = 50cm = 0.5m

M = 5.3 × 10³ A/m

Known:

μo = 4*π × 10^7 Tm/A

First, find the magnetic field:

B = μo * M = ...

Then find the magnetic dipole moment using B:

μ = I * A = [(2*π*r*B)/μo] * [π*r²] = ...

Plug & chug...

[your answer should be on the order of 10^-4]

[units for μ are J/T or A*m²]

[unit conversion for teslas: T = N/(A*m)]