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The particular current obtained from the solution of i in the sinusoidal response of R-C circuit is?(a) ip = V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC))(b) ip = -V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ-tan^-1(1/ωRC))(c) ip = V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ-tan^-1(1/ωRC))(d) ip = -V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC))This question was posed to me in an internship interview.Enquiry is from Sinusoidal Response of an R-C Circuit in portion Transients of Network Theory

Answer»

Correct answer is (a) ip = V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC))

The best EXPLANATION: The characteristic equation CONSISTS of two parts, VIZ. COMPLEMENTARY function and particular integral. The particular integral is ip = V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)).



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