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Questions  

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 shows
the 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

a
0.1 mA
b
10 mA
c
100 mA
d
Data insufficient

detailed solution

Correct option is C

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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