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Q.

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I=I0sin ωt, where I0=10A and ω=100π radian /s The maximum value of e.m.f. in the second coil is

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a

b

c

π

d

answer is B.

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Detailed Solution

e=Mdidt=0.005×ddtI0sin ωt=0.005×I0ωcos ωt∴emax=0.005×10×100π=5π(∴ cos ωt=1)
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Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I=I0sin ωt, where I0=10A and ω=100π radian /s The maximum value of e.m.f. in the second coil is