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

Posted: Thu Jul 14, 2022 10:59 am
by answerhappygod
a) i = e-t/RC[V/R cosθ+V/√(R2+(1/(ωC))2) cos⁡(θ+tan-1(1/ωRC))+V/√(R2+(1/ωC)2) cos⁡(ωt+θ+tan-1(1/ωRC)]
b) i = e-t/RC[V/R cosθ-V/√(R2+(1/ωC)2) cos⁡(θ+tan-1(1/ωRC))-V/√(R2+(1/ωC)2) cos⁡(ωt+θ+tan-1(1/ωRC)]
c) i = e-t/RC[V/R cosθ+V/√(R2+(1/ωC)2) cos⁡(θ+tan-1(1/ωRC))-V/√(R2+(1/ωC)2) cos⁡(ωt+θ+tan-1(1/ωRC)]
d) i = e-t/RC[V/R cosθ-V/√(R2+(1/(ωC))2) cos⁡(θ+tan-1(1/ωRC))+V/√(R2+(1/ωC)2) cos⁡(ωt+θ+tan-1(1/ωRC)]