A toroid of n turns,mean radius R and cross-s | vedclass

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(C) toroid is essentially a solenoid bent into a circular shape. The magnetic field lines produced by a toroid are confined entirely within its core,f

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is zero,otherwise there would be a field falling as $\frac{1}{r^3}$ at large distances outside the toroid

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(C) toroid is essentially a solenoid bent into a circular shape. The magnetic field lines produced by a toroid are confined entirely within its core,forming concentric circles.Because the magnetic field is confined within the toroid,the net magnetic field outside the toroid is zero.If the magnetic moment $m$ were non-zero,the toroid would act like a magnetic dipole at large distances,producing a magnetic field that falls off as $\frac{1}{r^3}$.Since the magnetic field outside an ideal toroid is zero,its magnetic moment $m$ must be zero.

$A$ toroid of $n$ turns,mean radius $R$ and cross-sectional radius $a$ carries current $I$. It is placed on a horizontal table taken as $xy$-plane. Its magnetic moment $m$ is:

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