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In the sinusoidal response of R-L-C circuit, the complementary function of the solution of i is?(a) ic = c1 e^(K1+K2)t + c1 e^(K1-K2)t(b) ic = c1 e^(K1-K2)t + c1 e^(K1-K2)t(c) ic = c1 e^(K1+K2)t + c1 e^(K2-K1)t(d) ic = c1 e^(K1+K2)t + c1 e^(K1+K2)tI have been asked this question in an interview for internship.My question is taken from Sinusoidal Response of an R-L-C Circuit in chapter Transients of Network Theory

Answer»

Right answer is (a) IC = c1 E^(K1+K2)t + c1 e^(K1-K2)t

Easiest explanation: From the R-L circuit, we get the characteristic equation as

(D^2+R/L D+1/LC)=0. The complementary function of the solution i isic = c1 e^(K1+K2)t + c1 e^(K1-K2)t.



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