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In the circuit shown below, the switch is closed at t = 0. Applied voltage is v (t) = 400cos (500t + π/4). Resistance R = 15Ω, inductance L = 0.2H and capacitance = 3 µF. Find the roots of the characteristic equation.(a) -38.5±j1290(b) 38.5±j1290(c) 37.5±j1290(d) -37.5±j1290The question was posed to me during an online interview.This interesting question is from Sinusoidal Response of an R-L-C Circuit in section Transients of Network Theory

Answer» RIGHT option is (d) -37.5±j1290

Explanation: By applying KIRCHHOFF’s voltage LAW to the circuit,

On differentiating the above equation and on solving, we GET ROOTS of the characteristic equation as -37.5±j1290.


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