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The complete solution of the current in the sinusoidal response of R-L-C circuit is?

Posted: Thu Jul 14, 2022 10:59 am
by answerhappygod
a) i = c1 e(K1+K2)t + c1 e(K1-K2)t – V/√(R2+(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/√(R2+(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/√(R2+(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/√(R2+(1/ωC-ωL)2) cos⁡(ωt+θ-tan-1)⁡((1/ωC-ωL)/R))