EMF produced E = NAB? sin(?t), where ? = 2?f (a) Determine the maximum induced e

Question

EMF produced                       E = NAB? sin(?t), where ? = 2?f

(a) Determine the maximum induced emf produced in the coils.

(b) Determine the maximum current flowing through the external resistor.

(c) Determine the frequency,f, of the alernating current produced in the coils.

(d) Determine the instantaneous curretn flowing through the resistor at time t = 5.00 sec

(e) Now that you have caculated some physical quantities about the generator, briefly explain why there is an induced emf (voltage) produced in the coils of this device. (Look back at Faraday's law.)

Explanation / Answer

A. EMF = NABw*sin wt

maximum induced EMF will be when

sin wt = 1

EMF)max = NABw

= 20*3.14*0.03^2*2*380 = 42.95 V

B.

I)max = EMF)max/R = 42.95/60 = 0.716 Amp.

C.

w = 2*pi*f

f = w/2*pi = 380/(2*3.14) = 60.51 Hz

D.

inst. current

I)inst. = EMF)inst./R = (NABw*sin wt)/R

t = 5.00 sec

I)inst. = [20*3.14*0.03^2*2*380*sin (380*5 rad)]/60 = 0.441 Amp.

Let me know if you have any doubt.

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