A flat coil of wire has an area A, N turns, and a resistance R. It is situated I

Question

A flat coil of wire has an area A, N turns, and a resistance R. It is situated In a magnetic field, such that the normal to the coil Is parallel to the magnetic field. The coil is then rotated through an angle of 90 degree, so that the normal becomes perpendicular to the magnetic field. The coil has an area of 1.5 Times 10^-3 m^2, 50 turns, and a resistance of 150 Ohm. During the time while It is rotating, a charge of 8.8 Times 10^-5 C flows in the coll. What is the magnitude of the magnetic field?

Explanation / Answer

emf induced =   - N (change in flux / time taken)

                        =   - N * B * dA/dT

I * R     =     - N * B * dA/dT

=>    Q =   - N * B * dA/R

=>      8.8 * 10-5 =   50 * 1.5 * 10-3 * B / 150

=>        B = 0.176 T         ------------------->magnitude of magnetic field

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