

InterviewSolution
Saved Bookmarks
1. |
The complete solution of the current in the sinusoidal response of R-L-C circuit is?(a) i = c1 e^(K1+K2)t + c1 e^(K1-K2)t – V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ+tan^-1)((1/ωC-ωL)/R))(b) i = c1 e^(K1+K2)t + c1 e^(K1-K2)t– V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ-tan^-1)((1/ωC-ωL)/R))(c) i = c1 e^(K1+K2)t + c1 e^(K1-K2)t + V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ+tan^-1)((1/ωC-ωL)/R))(d) i = c1 e^(K1+K2)t + c1 e^(K1-K2)t+ V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ-tan^-1)((1/ωC-ωL)/R))The question was asked in final exam.My question comes from Sinusoidal Response of an R-L-C Circuit topic in division Transients of Network Theory |
Answer» RIGHT answer is (C) i = c1 E^(K1+K2)t + c1 e^(K1-K2)t + V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ+tan^-1)((1/ωC-ωL)/R)) Explanation: The COMPLETE solution for the current becomesi = c1 e^(K1+K2)t + c1 e^(K1-K2)t + V/√(R^2+(1/ωC-ωL)^2) cos(ωt+θ+tan^-1)((1/ωC-ωL)/R)). |
|