Question

A generator rotates at 83 Hz in a magnetic field of 0.045 T . It has...

A generator rotates at 83 Hz in a magnetic field of 0.045 T . It has 550 turns and produces an rms voltage of 160 V and an rms current of 65.0 A

What is the peak current produced?

Express your answer to three significant figures and include the appropriate units

What is the area of each turn of the coil?

Express your answer to two significant figures and include the appropriate units.

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Homework Answers

Answer #1

(a) Given that,

RMS Current, I(rms) = 65.0 A

So, magnitude of the peak current, Ipeak = I(rms) / 0.707

= 65.0/0.707 = 91.9 A

(b) Peak emf generated by rotating coil, Eo = BANω ------------------------------------------(i)

Given that, RMS voltage produced, E(rms) = 160 V

So,

Eo = E(rms) / 0.707 = 160 / 0.707 = 226.3 V

Frequency of rotation, f = 83 Hz

So,

ω = 83 Hz x 2π rad/s = 521.4 rad/s

Therefore, from equation (i) -

A = Eo/(BNω)

= 226.3 / (0.045 x 550 x 521.4)

= 0.018 m^2 (Answer)

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