First slide

Ampere's circuital law

Question

A very long cylindrical conductor carries a current I. ‘p’ is point lying outside the conductor at a distance x from the surface of the conductor and magnetic induction at P is ‘B’. Then which of the following graphs correctly shows the variation of B with x?

Difficult

A
B
C
D

Solution

$B = \frac{μ_{0} I}{2 π (R + x)}$ where R = Radius of conductor.
At $x = 0, B = \frac{μ_{0} I}{2 π R}$ and as $x \to \infty, B \to 0$

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