Q.

A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4mm and a total length of 30cm. The magnetic field changes with time at a steady rate  dB/dt=0.032Ts1.The induced current in the loop is close to (Resistivity of the metal wire is 1.23×108Ωm

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a

0.34A 

b

0.53A

c

0.43A

d

0.61A

answer is A.

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Detailed Solution

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i=1R(dQdt)=1T(dBdt)A=(dBdt)A2ρl      i=(0.032)(π×3×103)21.23×108×4×0.3=0.61A

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