Question

A single loop of wire with area A carrying a current I has a magnetic moment µ = IA. If you wanted a single loop of wire with an area equal to the cross-sectional area of the magnet used here to have the same magnetic moment as your permanent magnet, how large a current would you need flowing through the loop?

Answer 1

Answer:

The current would you need flowing through the loop is

$I'=\frac{\mu 'I}{\mu }$

Explanation:

The magnetic moment is permanent, the area is equal to:

$A=\frac{\mu }{I}$

The current is:

$I'=\frac{\mu '}{A}$

Replacing the area value, the current is:

$I'=\frac{\mu 'I}{\mu }$