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  • 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

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?

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)

best_answer

Applying ampere's circuital law,

Magnetic field at a point outside the cylinder and locate at a perpendicular distance d from its axis,

B=\frac{{\mu}_0 I}{2 \pi d} \text { if }, d>R

\text { If } d=R \text { then, } B=\frac{\mu_0 I}{2 \pi R}

\text { If } d<R, B=0

[ Since no current flows inside a hollow cylinder ]\therefore B \propto { \frac{1}{d}}

 

Posted by

Gaurav

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