954 The RLC circuit in Figure P954 is in the zero state when at t 0

9–54 The RLC circuit in Figure P9–54 is in the zero state when at t ¼ 0 an exponential source, vS(t) ¼ VAeat 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 ¼ 100 V, L ¼ 50 mH, C ¼ 10 mF, VA ¼ 10 V, and a ¼

500 s1, use Laplace transforms and MATLAB to solve for i(t) for t 0.

Transcribed Image Text:

0=1 vs(t)( +1 R ww L i(t) all FIGURE P9-54 C: