1.

The complete solution of the current in the sinusoidal response of R-L circuit is?(a) i = e^-t(R/L)[V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)⁡(ωL/R))]+V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1)⁡(ωL/R))(b) i = e^-t(R/L)[-V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)(ωL/R))]-V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1)⁡(ωL/R))(c) i = e^-t(R/L)[V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)⁡(ωL/R))]-V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1)⁡(ωL/R))(d) i = e^-t(R/L)[-V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)⁡(ωL/R))]+V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1)⁡(ωL/R))The question was asked in final exam.This intriguing question originated from Sinusoidal Response of an R-L Circuit topic in portion Transients of Network Theory

Answer» CORRECT ANSWER is (d) i = e^-t(R/L)[-V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)⁡(ωL/R))]+V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1)⁡(ωL/R))

Explanation: The complete solution for the CURRENT becomesi = e^-t(R/L)[-V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1)⁡(ωL/R))]+V/√(R^2+(ωL)^2)cos⁡(ωt+θ-tan^-1)⁡(ωL/R)).


Discussion

No Comment Found

Related InterviewSolutions