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A coil having n turns and resistance R $Ω$ is connected with a galvanometer of resistance 4 R $Ω$ . This combination is moved in time t seconds from a magnetic field B₁ weber to B₂ weber. The induced current in the-circuit is

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B2−B15Rnt

−nB2−B15Rt

−B2−B1Rnt

−nB2−B1Rt

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detailed solution

Correct option is B

The rate of change of flux or e.m.f. induced in the coil is given bye=−ndΦdtInduced current i=eR′=−nR′dΦdt ....(1) Here, R′=R+4R=5R,dΦ=B2−B1 and dt=t ∴i=−n5RB2−B1t

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