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The value of ‘c’ in complementary function of ‘i’ is?(a) c = -V/√(R^2+(ωL)^2) cos⁡(θ+tan^-1(ωL/R))(b) c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R))(c) c = V/√(R^2+(ωL)^2) cos⁡(θ+tan^-1(ωL/R))(d) c = V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R))The question was asked in final exam.My question is from Sinusoidal Response of an R-L Circuit topic in chapter Transients of Network Theory

Answer»

Correct OPTION is (b) c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R))

The best I can explain: SINCE the inductor does not allow sudden CHANGES in currents, at t = 0, i = 0. So,c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R)).



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