Question

Calculate the magnitude of the emf induced in a 900cm2 coil of 7 turns when the plane of the coil is at 60° angle with the B. The coil rotates with a period T = 0.06s in an uniform, horizontal, magnetic field of magnitude 0.40T.? A) 13V B) 23V C) 2.1V D) 3.6V E) 26V

Answer 1

option (A)

Step-by-step explanation:

Angle between the plane of coil and the magnetic field = 60 degree

Angle between the normal of coil and the magnetic field = 90 - 60 = 30 degree

N = 7, B = 0.4 T, T = 0.06 s , w = 2 pi / T, A = 900 cm^2 = 0.09 m^2

peak emf, e0 = N x B x A x (2 x 3.14 / T) x Sin 30

e0 = 7 x 0.4 x 0.09 x 6.28 x 0.5 / 0.06 = 13.18 Volt = 13 volt