Question

A circular coil of radius r having n turns carries a current I what is magnetic moment​

Answer 1

Answer:

a circular coil have radius r and n turns carries current I its magnetic moment

M= magnetic moment

A =area of circular coil

I = current

N = no. of turns

1. as M =AIN
2. A=πr²
3. so M=πr²IN

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Answer 2

The magnetic moment, M = NIπ$r^2$.

Given,

The radius of the coil = r.

The number of turns in the coil = N.

The current being carried by the coil = I

To find,

The magnetic moment, M for the given coil.

Solution,

This question can be easily solved as we know the magnetic moment,

M = NIA  _____ (1)

where N is the number of turns,

I is the current,

and A is the area.

now in the given situation,

A = π$r^2$  (where r is the radius of the loop) ______ (2)

From equation (1) and (2)

M = NIπ$r^2$

∴ The magnetic moment M = NIπ$r^2$.