A, clockwise 0.978 A, clockwise 0.792 A, counterclockwise 0.792 A, clockwise 0.9

Question

A, clockwise 0.978 A, clockwise 0.792 A, counterclockwise 0.792 A, clockwise 0.978 A, counterclockwise A student decides to make a generator. She creates a coil with 650 turns and an area for each loop of 7.5e-3 m^2. She then mounts it on an axel that she can rotate by hand and puts magnets around the coil to create a uniform magnetic field of 0.4 T through the coil (in the usual orientation for a generator that maximizes the emf). If she rotates the coil at 4 revolutions per second, what rms voltage docs it produce? 21.6 V 120.6 V 97.4 V 5.52 V 34.7 V

Explanation / Answer

given

w = 4rev /sec = 8pi rad /sec

we know that flux

flux = NBAsin theta

induced emf

E =N BAw cos theta

Erms = NBAw /sqrt(2)

Erms =650x0.4x8xpix 7.5x10^-3 / 1.414

Erms = 34.7 V

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