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What is the expression for voltage in the given circuit?(a) V=60e^-0.5t(b) V=30e^-0.5t(c) V=60e^-2t(d) V=30e^-2tThe question was posed to me by my college director while I was bunking the class.My doubt is from Transients in LR Networks in chapter Inductance in a DC Circuit of Basic Electrical Engineering

Answer»

The correct CHOICE is (c) V=60e^-2t

To ELABORATE: Applying KVL in above CIRCUIT, we get

60-30i-15di/dt = 0

i=2(1-e^-2t)A

di/dt = 4e^-2t

V=Ldi/dt=15*4e-^-2t=60e^-2t.



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