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(D) For an infinitely long hollow conducting cylinder of radius $R$ carrying a current $I$ on its surface:$1$) Inside the cylinder $(r < R)$,we can ap

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(D) For an infinitely long hollow conducting cylinder of radius $R$ carrying a current $I$ on its surface:$1$) Inside the cylinder $(r $2$) Outside the cylinder $(r \geq R)$,we choose a circular Amperian loop of radius $r \geq R$. The total current enclosed by this loop is $I$. According to Ampere's law,$\oint B \cdot dl = \mu_0 I$. Due to cylindrical symmetry,$B(2\pi r) = \mu_0 I$,which gives $B = \frac{\mu_0 I}{2\pi r}$.Thus,the magnetic field is zero inside the cylinder and decreases inversely with distance $r$ outside the cylinder. This corresponds to the graph shown in option $D$.

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 the cylinder.

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