Acircular coil with a radius of 0.12 m and 20 turns is rotated in a uniform magnetic field of 1.6 t. the coil rotates with a constant frequency of 1.4 hz. determine the maximum value of the emf induced in the coil. answer in units of v.

e = 12.72 V

Explanation:

given,

radius of circular coil = 0.12 m

number of turns, N = 20

magnetic field, B = 1.6 T

frequency, f = 1.4 Hz

maximum emf =  ?

∅ =  N A B cos ωt

emf

e = N A B ω sin ωt

for maximum induced emf

e = N A B ω

ω = 2 π f

ω = 2 π x 1.4 = 8.79 rad/s

e = 20 x π x r² x  B x ω

e = 20 x π x 0.12² x  1.6 x 8.79

e = 12.72 V

hence, the maximum value of induced emf is equal to e = 12.72 V

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