A maximum emf of 91.7 V is induced in a generator coil rotating with a frequency

Question

A maximum emf of 91.7 V is induced in a generator coil rotating with a frequency of 41 Hz. The coil has an area of 290 cm and rotates in a magnetic field of 2.2T. How many turns are in the coil? Answer in units of turns. A generator can be made using the compo- nent of Earth's magnetic field that is paral lel to Earth's surface. A 140-turn square wire coil with an area of 3.06 x10-2 m2 is mounted on a shaft so that the cross-sectional area of the coil is perpendicular to the ground. The shaft then rotates with a frequency of 28.8 Hz. The horizontal component of the Earth's magnetic field at the location of the loop is 3.00 x105 T Calculate the maximum emf induced in the coil by Earth's magnetic field. Answer in units of V.

Explanation / Answer

induced emf = N A B w

91.7 = N (290 x 10^-4) (2.2) (2 x pi x 41)

N = 5.5 turns

unit -> no unit

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maximum emf = N A B w

e = (140) (3.06 x 10^-2) (3 x 10^-5) (2 x pi x 28.8)

e = 0.0233 Volt

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