Question

The coil in an AC generator consists of 21 turns of wire, each of area A = 0.12 m2, and the total resistance of the wire is 24 Ohms. The coil rotates in a 0.5 Tesla magnetic field at a constant frequency of 135 Hz. Find the maximum induced emf in the coil (in Volts).

Answer 1

1068.23 V

Step-by-step explanation:

number of turn, N = 21

Area, A = 0.12 m^2

Resistance, R = 24 ohm

Magnetic field, B = 0.5 Tesla

Frequency, f = 135 Hz

The maximum induced emf is given by

e = N x B x A x ω

e = N x B x A x 2 x π x f

e = 21 x 0.5 x 0.12 x 2 x 3.14 x 135

e = 1068.23 V

Thus, the induced emf is 1068.23 V.