1. In the circuit shown in Figure 1, the initial voltage across the capacitor is v(0) =Vo=3V and the initial current through the inductor is i(0)= Io = 2A when the switch is closed at t=0. Let Vs = 10V, R= 0.3N, L= 0.5H, C = 2F. R i(t) t=0 10 + + Vs VO + c v(t) Figure 1 (a) Find a and Wo. (b) Is this circuit overdamped (case 1), critically damped (case 2), or underdamped (case 3)? (c) Find the two roots si and s2 of the characteristic equation.

1. In the circuit shown in Figure 1, the initial voltage across the capacitor is v(0) =Vo=3V and the initial current through the inductor is i(0)= Io = 2A when the switch is closed at t=0. Let Vs = 10V, R= 0.3N, L= 0.5H, C = 2F. R i(t) t=0 10 + + Vs VO + c v(t) Figure 1 (a) Find a and Wo. (b) Is this circuit overdamped (case 1), critically damped (case 2), or underdamped (case 3)? (c) Find the two roots si and s2 of the characteristic equation.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

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