Physics · Network Analysis
A series RLC circuit has an initial current i(0-) = 1 A through the inductor and an initial voltage Vc(0-) = -1 V across the capacitor. For a unit step input v(t) = u(t), where R = 1 Ω, L = 1 H, and C = 1 F, the Laplace transform of the current i(t) for t ≥ 0 is:
- 1s - 2s2 + 2s + 1
- 2s - 2s2 + s + 1
- 3s + 2s2 + s + 1✓
- 4ss2 + s + 1
Correct answer
s + 2s2 + s + 1
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