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The value of ‘c’ in complementary function of ‘i’ is?(a) c = V/R cosθ+V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))(b) c = V/R cosθ+V/√(R^2+(1/(ωC))^2) cos⁡(θ-tan^-1(1/ωRC))(c) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ-tan^-1(1/ωRC))(d) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))I got this question by my college director while I was bunking the class.My question is from Sinusoidal Response of an R-C Circuit topic in section Transients of Network Theory

Answer»

The correct choice is (d) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))

The best I can explain: Since the CAPACITOR does not allow sudden CHANGES in VOLTAGES, at t = 0, i = V/R cosθ. So, c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC)).



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