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An alternating voltage V = 150 sin(314)t is supplied to a device which offers a resistance of 20 Ω in forward direction of electric current while preventing the flow of electric current in reverse direction. The form factor is ___________(a) 0.57(b) 0.318(c) 1.414(d) 1.57The question was posed to me during an interview.This is a very interesting question from Advanced Problems on Millman’s Theorem and Maximum Power Transfer Theorem topic in portion Useful Theorems in Circuit Analysis of Network Theory

Answer»

The correct option is (d) 1.57

For explanation I would say: From the voltage EQUATION, we can get Vm = 150 V and Im = 150 / 20 = 7 A

RMS value of the CURRENT, Irms = Im / 2 = 7/2 = 3.5 A

Average value of the current, Iavg = Im / π = 2.228 A

Form factor = Irms / Iavg = 3.5 / 2.228 = 1.57.



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