Q.

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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a

B2−B15Rnt

b

−nB2−B15Rt

c

−B2−B1Rnt

d

−nB2−B1Rt

answer is B.

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Detailed Solution

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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