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  4. Current I is flowing in infinitely long wire. Which of the following graphs represents the variation of B w.r.t. axial distance?

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Q. Current $I$ is flowing in infinitely long wire. Which of the following graphs represents the variation of $B$ w.r.t. axial distance?Physics Question Image

Moving Charges and Magnetism

Solution:

$B =\frac{\mu_{0} \,i\, r }{2 \pi R ^{2}}$ for $r < R $
$\Rightarrow B \propto r$
$B =\frac{\mu_{0} \,i }{2 \pi r }$ for $r > R $
$\Rightarrow B \propto \frac{1}{ r }$