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In the sinusoidal response of R-C circuit, the complementary function of the solution of i is?

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In the sinusoidal response of R-C circuit, the complementary function of the solution of i is?

(a) ic = ce^-t/RC

(b) ic = ce^t/RC

(c) ic = ce^-t/RC

(d) ic = ce^t/RC

This question was posed to me in final exam.

My question is based upon Sinusoidal Response of an R-C Circuit in section Transients of Network Theory

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The correct option is (a) ic = ce^-t/RC

The explanation is: From the R-c circuit, we get the characteristic equation as (D+1/RC)i=-Vω/R sin⁡(ωt+θ). The complementary function of the solution i is ic = ce^-t/RC.

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