The circuit parameters are l 50 h c 025 muf r1nbsp 10, Electrical Engineering

The circuit parameters are l 50 h c 025 muf r1nbsp 10

The switch in Figure has been closed for a long time and is opened at t = 0.

2138_Figure 07.jpg

(a) Find the circuit differential equation in v_C(t) and the initial conditions i_L(0) and v_C(0).

(b) The circuit parameters are L = 50 H, C = 0.25 μF, R₁ = 10 kΩ, R₂ = 20 kΩ, and v_S = 10u (t) V. V. Use Laplace transforms and MATLAB to solve for v_C(t) for t ≥ 0:

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