I am having trouble with this question.Can anyone please help me? A generator us

Question

I am having trouble with this question.Can anyone please help me?

A generator uses a coil that has 100 turnsand a 0.60 T magnetic field. The frequencyof this generator is 60.0 Hz, and its emf has an rms value of 120V. Assuming that each turn of the coil is a square (anapproximation), determine the length of the wire from which thecoil is made.
1 m


I am having trouble with this question.Can anyone please help me?

A generator uses a coil that has 100 turnsand a 0.60 T magnetic field. The frequencyof this generator is 60.0 Hz, and its emf has an rms value of 120V. Assuming that each turn of the coil is a square (anapproximation), determine the length of the wire from which thecoil is made.
1 m

Explanation / Answer

the emf in the generator is eo = N * B * A * w * sin(wt) erms = (eo/2) or eo = 2 * erms whereerms = 120 V or eo = 1.414 * 120 = 169.7 V N = 100 turns B = 0.60 T A = a2 where a is the side of the square w = 2f where f = 60.0 Hz the emf is maximum when wt = 90o therefore weget e = N * B * A * w * sin(90o) = N * B* a2 * 2f or a = (e/N * B * 2f)1/2 the length of the wire from which the coil is made is4a. the length of the wire from which the coil is made is4a.

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