*** Note - To get full credit for a problem, you must use the stated technique. Right answers through another technique will only receive 50% credit for the problem. If no stated technique is given, any method is okay but show your work. Answers without work will not receive full credit. **
The below circuit is given with two switches that both operate simultaneously at $t = 0$. Switch 1 changes from A to B and Switch 2 changes from D to C. The switches have been in their original positions for a long time. For each of the below three scenarios find:
a) $\alpha$
b) $\omega_o$
c) if circuit is overdamped, underdamped or critically damped
d) $v_o(t)$ for $t \ge 0$
A B
C D
10$\Omega$
200$\Omega$
$t=0$
$t=0$
50mA
L
R
C
+20V
Problem 1: R = 100 $\Omega$, L = 320 mH and C = 2 $\mu$F
Problem 2: R = 200 $\Omega$, L = 320 mH and C = 2 $\mu$F
Problem 3: R = 250 $\Omega$, L = 320 mH and C = 2 $\mu$F
