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A circular coil of wire consists of exactly 100 turns with a total resistance 0.20Ω. The area of the coil is 100 cm2. The coil is kept in a uniform magnetic field B as shown in figure. The magnetic field is increased at a constant rate of 2 T s-1. Find the induced current in the coil in A.

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answer is 5.

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Detailed Solution

The total flux through N turns of the coil, ϕtotal=NBAcosθAccording to Faraday's law of electromagnetic induction,Einduced=-dϕdt=-ddtNBAcosθ =-NAcosθdBdtThe current induced in the coil,Iinduced=EinducedR=5A

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A circular coil of wire consists of exactly 100 turns with a total resistance 0.20Ω. The area of the coil is 100 cm2. The coil is kept in a uniform magnetic field B as shown in figure. The magnetic field is increased at a constant rate of 2 T s-1. Find the induced current in the coil in A.