A rectangular coil of 20 turns and area of cross-section 25 sq. cm has a resistance of 100 Ω. If a magnetic field which is perpendicular to the plane of the coil changes at a rate of 1000 tesla per second, the current in the coil is
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a
1.0 ampere
b
50 ampere
c
0.5 ampere
d
5.0 ampere
answer is C.
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Detailed Solution
e=−dΦdt and i=eR ∴i=−1RdΦdt=−1Rddt(nBA)=−nARdBdt=−20×25×10−4100×1000=−0⋅5amp=|0⋅5|ampnegative sign indicates the direction.