The coil of a generator has a radius of 0.25 m. When this coil is unwound, the wire from which it is made has a length of 11.0 m. The magnetic field of the generator is 0.17 T, and the coil rotates at a frequency of 13 Hz. What is the peak emf of this generator?

Question

Physics

Mohamed Santos

29 June, 19:25

The coil of a generator has a radius of 0.25 m. When this coil is unwound, the wire from which it is made has a length of 11.0 m. The magnetic field of the generator is 0.17 T, and the coil rotates at a frequency of 13 Hz. What is the peak emf of this generator?

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Answers (1)

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Selena Fritz · Answer 1

19.06 Volt

Explanation:

r = 0.25 m, l = 11 m, B = 0.17 T, f = 13 Hz

length for one turn = 2 x 3.14 x r = 2 x 3.14 x 0.25 = 1.57 m

Total number of turns in 11 m

N = 11 / 1.57 = 7

Peak emf, e0 = N x B x A x 2 x 3.14 x f

e0 = 7 x 0.17 x 3.14 x 0.25 x 0.25 x 2 x 3.14 x 13 = 19.06 Volt