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A flat circular coil of 10 cm radius has 200 turns of wire. The coil is connected to a capacitor of 20μF placed in a uniform magnetic field whose induction decreases at a rate of 0.01 T s−1. Find the charge on capacitor.

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Detailed Solution

Q=eC, e=dϕdtQ=dϕdt⋅C=ddt(NAB)C=NACdBdtQ=200×π×0.12×10−2×20×10−6=1.25×10−6 C=1.25 μC

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A flat circular coil of 10 cm radius has 200 turns of wire. The coil is connected to a capacitor of 20μF placed in a uniform magnetic field whose induction decreases at a rate of 0.01 T s−1. Find the charge on capacitor.