9–55 The switch in Figure P9–55 has been closed for a long time and is opened at t =0

(a) Find the circuit differential equation in vCðtÞ and the initial conditions iLð0Þ and vCð0Þ

(b) The circuit parameters are L=50H, C =0:25 μF, R1 =10 kΩ, R2 =20 kΩ, and vS =10u t ð Þ V.
V. Use Laplace transforms and MATLAB to solve for vCðtÞ for t ≥ 0:

Transcribed Image Text:

R R Lin(t) ww Vs (1) t=0 vc(1) FIGURE P9-55 +