A flat circular coil 10 cm radius has 200 turns. The coil is connected to a capacitor of capacity 20 μF. It is placed in a uniform magnetic field which decreases at a rate of 0.01 tesla per second. The charge (in μC) on the capacitor is_________.

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answer is 1.25.

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Detailed Solution

Q=eC, where e= induced emf=dϕdtQ=dϕdt⋅C=ddt(NAB)C (∴ϕ=NAB)Q=NAdBdtC=200×π×10×10−22(0.01)×20×10−6=1.25×10−6 coulomb =1.25μC

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