A closed loop of cross-sectional area 10-2 m2 which has inductance L = 10 mH and negligible resistance is placed in a time-varying magnetic field. Figure showsthe variation of B with time for the interval 4 s. The field is perpendicular to the plane of the loop (given at t = 0, B = 0,I = 0). The value of the maximum current induced in the loop is

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0.1 mA

10 mA

100 mA

Data insufficient

answer is C.

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Detailed Solution

Induced e.m.f. e=LdIdt=AdBdt⇒ ∫0I dI=∫0B ALdB⇒I=ALB⇒ Imax=ALBmax=10−210×10−3×0.1=0.1A=100mA

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