I\'m having trouble with this homework question.Any help would bemuch appreciate

Question

I'm having trouble with this homework question.Any help would bemuch appreciated. Thanks.

A generator uses a coil that has 80turns and a 0.40-T magnetic field. Thefrequency of this generator is 60.0 Hz, and its emf has an rmsvalue of 120 V. Assuming that each turn of the coil is a square (anapproximation), determine the length of the wire from which thecoil is made.

Explanation / Answer

Given that        N = 80 turns        B = 0.40 T         f = 60 Hz         Vrms = 120V We know that        Vrms = N A B                 = 2 N A B f      ==> A = Vrms / 2NBf                 = 120 / 2 * 3.14 * 80 * 0.40 * 60                 = 0.009952 m2 so that side of coil (a) = A = 0.0997 m Therefore length of the wire L = 4aN = 4 * 0.997 * 80 = 31.92 m

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