The magnetic field at the centre of a circular current loop of area A has magnitude B. What is the magnetic moment of the loop?

PhysicsMediumHigh School (11–12)jee-main

For a circular loop of radius $r$ carrying current $I$ , the field at the centre is $B=\mu_0 I/(2r)$ and the magnetic moment is $M=I\pi r^2$ . Eliminating $I$ and $r$ in favor of $A=\pi r^2$ and $B$ gives $M$ in terms of $B$ and $A$ .

The magnetic field at the centre of a circular current loop of area $A$ has magnitude $B$ . What is the magnetic moment of the loop?

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