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  4. A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius ‘R’. The magnetic field ‘B’ produced at a perpendicular distance ‘d’ from the axis of the cylinder is plotted in a graph. Which of the following figures look like the plot ?

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Q. A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius ‘$R$’. The magnetic field ‘$B$’ produced at a perpendicular distance ‘$d$’ from the axis of the cylinder is plotted in a graph. Which of the following figures look like the plot ?

WBJEEWBJEE 2018Moving Charges and Magnetism

Solution:

$\because $ Magnetic field due to a hollow cylinder of radius $r$.
image
$ B_{\text {inside }} =0(\text { for } d < r) $
$ B_{\text {outslde }} =\frac{\mu_{0}}{2 \pi} \cdot \frac{i}{d} \text { (for } d \geq r)$
So, graph between $B$ and $d$.
image