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  4. An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.

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Q. An infinitely long hollow conducting cylinder with radius $R$ carries a uniform current along its surface. Choose the correct representation of magnetic field $(B)$ as a function of radial distance $(r)$ from the axis of cylinder.

JEE MainJEE Main 2022Moving Charges and Magnetism

Solution:

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1) $r < R , B _{ p }=0$
2) $r \geq R , B _{ p }=\frac{\mu_{0} 1}{2 \pi r }$
$B_{p} \propto \frac{1}{r}$
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