Question

A closely wound rectangular coil of 95.0 turns has dimensions of 22.0 cm by 49.0 cm. The plane of the coil is rotated from a position where it makes an angle of 35.0 ∘ with a magnetic field of 1.20 T to a position perpendicular to the field. The rotation takes 0.120 s. What is the average emf induced in the coil?

Answer 1

Given :-

B = 95 turns

A = l x b

A = (22 x 10^-2) x (49 x 10^-2)

A = 1078 x 10^-4 m^2

A = 0.1078 m^2

T = 0.120 sec

change in magnetic field,

= 1.20(1 - cos(90 - 35))

= 0.512 T

Induced emf is

e = -NA( / T)

e = -95 x 0.1078 x (0.512 / 0.120)

e = -43.7 V

IeI = 43.7 V