Question

3) RLC Series Circuits R2 20k R3 ww 10k R1 ww 3k L1 2E-3 R5 R4 4k TD 8k TR TF 0 PW = PER 2 C1 2E-9 In the above circuit, the initial conditions are zero and the source can be considered a step function, 5u(t) 3.1: Determine and draw the simplified circuit schematic. (Hint: Thevenin equivalent with inductor and capacitor as a load...and yes, two (or more) components can be a load!) 3.2: What is the initial (t 0+) current through the capacitor? What is the initial (t 0+) voltage through the capacitor? 3.3: What is the DC steady state current though the capacitor as t approaches ? 3.4: What is the differential equation defining the current through the capacitor? 3.5: Based on the differential equation, determine the s-polynomial for the circuit 3.6: Determine the roots of the polynomial 3.7: Is the system underdamped, overdamped or critically damped? 3.8:. Determine the general expression for the current through the capacitor (You do not need to determine the coefficients) w