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Question

Question: Magnetic field at the centre of a circular loop of area A is B. The magnetic moment of the loop is...

Magnetic field at the centre of a circular loop of area A is B. The magnetic moment of the loop is

A

B

BATμ0\frac { \mathrm { BA } \sqrt { \mathrm { T } } } { \mu _ { 0 } }

C

BAAμ0π\frac { \mathrm { BA } \sqrt { \mathrm { A } } } { \mu _ { 0 } \pi }

D

Answer

Explanation

Solution

Let r be the radius of the circular loop

A=πr2\therefore \mathrm { A } = \pi \mathrm { r } ^ { 2 }

Or r=Aπ\mathrm { r } = \sqrt { \frac { \mathrm { A } } { \pi } }

Magnetic field at the centre of the loop is

The magnetic moment of the loop is