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In a series RLC circuit excited by a voltage 3e^-t u (t), the resistance is equal to 1 Ω and capacitance = 2 F. For the circuit, the values of I (0^+) and I (∞), are ____________(a) 0 and 1.5 A(b) 1.5 A and 3 A(c) 3 A and 0(d) 3 A and 1.5 AThis question was addressed to me in class test.This intriguing question comes from Advanced Problems on Two Port Network topic in portion Two-Port Networks of Network Theory

Answer»

Correct ANSWER is (c) 3 A and 0

Easiest explanation: I(s) = \(\frac{6}{s+1} – \frac{3}{s+0.5}\)

Or, I(t) = 6 e^-t – 3 e^-0.5t

Putting, t = 0, we get, I(0) = 3A

Putting t = ∞, we get, I (∞) = 0.



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