The switch in Figure P9–52 has been closed for a long time and is opened at t ¼ 0.

(a) Find the circuit differential equation in vC(t) and the initial conditions iL(0) and vC(0).

(b) The circuit parameters are L ¼ 50 H, C ¼ 0.25 mF, R1 ¼

10 kV, R2 ¼ 20 kV, and vS ¼ 10u(t) V. Use Laplace transforms and MATLAB to solve for vC(t) for t 0.

Transcribed Image Text:

(1)SA 1 + R R W ww t=0 LiL(t) + ee-w vc(t)=C FIGURE P9-52