In a model AC generator, a 502 turn rectangular coil 5.0 cm by 26 cm rotates at

Question

In a model AC generator, a 502 turn rectangular coil 5.0 cm by 26 cm rotates at 115 rev/min in a uniform magnetic field of 0.6 T. What is the maximum emf induced in the coil? is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your c accuracy to minimize roundoff error. V What is the instantaneous value of the emf in the coil at t = (pi/39) s? Assume that the emf is zero at t = 0. V What is the smallest value of t for which the emf will have its maximum value? s

Explanation / Answer

a) emf induce=4.44*number of turns*frequency*flux

where flux=flux density*area=0.6*0.05*0.26=7.8 mWb

frequency=115/60=1.9167 Hz

so putting all the values, maximum emf induced=4.44*502*1.9167*7.8*0.001=33.332 volts

b)emf can be written as

E=33.332*sin(2*pi*1.9167*t)

then at t=pi/39 seconds, voltage=27.497 volts

c)maximum value will happen when

2*pi*1.9167*t=pi/2

==>t=0.13043 seconds

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