ELET 3113 Homework 11 1. Given i(t) = 5 cos 10t, R = 1Ω, C = 25 mF, L = 625 mH, find V(s). 2. Given R = 2500 Ω, L = 500 mH, C = 0.5 μF, and ig(t) = 15 mA, find v2(t). 3. Find the equivalent impedance for a series RLC combination, where R = 10 kΩ, L = 5H, and C = 20 nF. Find all poles and zeroes and plot them. 4. Given all initial conditions are zero: a. Draw the Laplace domain representation of the circuit, showing all values. b. Derive expressions for I(s), V1(s), and V2(s). c. Solve for i(t), v1(t), and v2(t). d. Verify that the results of part (c) make sense by evaluating them at times t=0 and t→∞. 5. Find v0(t) using circuit analysis techniques. Hint: you will first have to solve for the initial conditions on the capacitor and inductor.