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The particular current obtained from the solution of i in the sinusoidal response of R-L circuit is?(a) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ+tan^-1(ωL/R))(b) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R))(c) ip = V/√(R^2+(ωL)^2) cos⁡(ωt-θ+tan^-1(ωL/R))(d) ip = V/√(R^2+(ωL)^2) cos⁡(ωt-θ+tan^-1(ωL/R))The question was posed to me in examination.This key question is from Sinusoidal Response of an R-L Circuit topic in chapter Transients of Network Theory

Answer» RIGHT answer is (b) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R))

For EXPLANATION I would say: The characteristic equation consists of two parts, viz. COMPLEMENTARY FUNCTION and particular integral. The particular integral is ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R)).


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