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# Magnetic Induction in a Coil

A coil with N = 25 loops having an area of A = 0.15 m2 and a resistance of 150 Ohms is perpendicular to a magnetic field, B, that decreases from Bi =4.0 T to Bf =2.0 T in a time of dt = 0.10 s.

(a) What is the change in B (dB)?

(b) What is the rate of change in magnetic flux through the coil?

(c) What is the magnitude of the emf induced in the coil?

(d) What is the magnitude of current induced in the coil?

#### Solution Preview

(a) Change in B field is given by dB = Bf - Bi = 2 - 4 = -2 T

(b) As change in time is dt = 0.10s we know the rate of change of field B as ...

#### Solution Summary

A coil with N = 25 loops having an area of A = 0.15 m2 and a resistance of 150 Ohms is perpendicular to a magnetic field, B, that decreases from Bi =4.0 T to Bf =2.0 T in a time of dt = 0.10 s.

The following parameters are determined using algebraic techniques combined with Faradays Law and Ohms Law
The change in B (dB)?

The rate of change in magnetic flux through the coil?

The magnitude of the emf induced in the coil?

The magnitude of current induced in the coil?

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