Consider an RC series circuit with R = 2 Ω and C = 5 μF, driven by a step input Vs(t) = 10 V. Using Laplace transforms, determine the time-domain expression for the voltage across the capacitor Vc(t).

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Physics · Network Analysis

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Vc(t) = 10 [1 − e−105t] u(t) V

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Answer 1

Vc(t) = 10 [1 − e−105t] u(t) V

Answer 2

Vc(t) = 10 [1 − e105t] u(t) V

Answer 3

Vc(t) = 15 [1 − e−105t] u(t) V

Answer 4

Vc(t) = 10 [1 − e−10−5t] u(t) V

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