9–57 The RLC circuit in Figure P9–57 is in the zero state when at t = 0 an exponential source, vSðtÞ =VAe−αt V, is suddenly connected to it.

(a) Find the circuit integrodifferential equation that describes the behavior of the current in the circuit.

(b) If R=82 Ω, L= 100 mH, C =15 μF, VA = 15 V, and α = 500 s−1, use Laplace transforms and MATLAB to solve for iðtÞ for t ≥ 0:

Transcribed Image Text:

vs(t) t=0 R Li(t) +1 FIGURE P9-57 C