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Magnetic flux and induced emf

Question

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.

Moderate
Solution

The total flux through N turns of the coil, 

ϕtotal=NBAcosθ

According to Faraday's law of electromagnetic induction,

Einduced=-dt=-ddtNBAcosθ =-NAcosθdBdt

The current induced in the coil,

Iinduced=EinducedR=5A



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