A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B = B₀e… , where B₀ and … are constants, at time t = 0. If the resistance of the loop is R then the heat generated in the loop after a long time (t … …) is :

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Electromagnetic Induction

JEE Main 2016 · 10 Apr, Morning shift · Q6697

PhysicsMedium55×since 2003Q6697

A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B = B₀e

{^{{{ - t} \over r}}}

, where B₀ and

\tau

are constants, at time t = 0. If the resistance of the loop is R then the heat generated in the loop after a long time (t

\to

\infty

) is :