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Q. Which of the following graph shows the variation of magnetic induction B with distance r from a current carrying long wire?

UPSEEUPSEE 2019

Solution:

As magnetic field due to a current carrying straight wire of infinite length
$B = \frac{\mu_{0}i}{2\pi} . \frac{1}{r} $
$ \Rightarrow B \propto \frac{1}{r} $
So, the graph between magnetic induction $B$ and distance r from the conductor is rectangular hyperbola.
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