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An infinitely long hollow conducting cylinder with radius $\mathrm{R}$ 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.
Option: 1

Option: 2

Option: 3

Option: 4

Answers (1)

best_answer

For $r\leq R$

$\oint \vec{B} \cdot d \vec{l}=\mu_o I _{enc}$

$\mathrm{B \times 2\pi r=\mu_o \times 0 }$

$\mathrm{B=0}$

For $\mathrm{r \geq R }\\$ ,

$\oint \vec{B} \cdot d \vec{l}=\mu_o I_{enc}\\$

$\mathrm{B \times 2 \pi r=\mu_o i} \\$

$\\ \mathrm{B=\frac{\mu_{0}I}{2 \pi r} } \\ \\ B \propto \frac{1}{r}$

Hence the correct option is 4

Posted by

seema garhwal

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