Question

Problem #4: For the circuit in problem #2, a switch was added between A and resistor R1 as shown below. Consider that the switch, S1 is opened at t = 0: S1 R1 t=0 Vs B R3 C + C2 Vc il L4 I R5 E D Vs=5 V R1 = 270 ? C2 = 990 µF R3 = 990 ? L4 = 1100 µH R5 = 330 ? (a) [5] Obtain $V_c(0^+)$ and $i_L(0^+)$ (b) [10] Obtain $dV_c(0^+)/dt$ and $di_L(0^+)/dt$ (c) [10] Is the transient response overdamped, critically damped, or under-damped? Show your work. (d) [15] Solve for the transient responses, $i_L(t)$ and $V_c(t)$ for $t \ge 0.$

          Problem #4: For the circuit in problem #2, a switch was added between
A and resistor R1 as shown below. Consider that the switch, S1 is opened at t = 0:
S1
R1
t=0
Vs
B
R3
C
+
C2 Vc
il L4
I
R5
E
D
Vs=5 V
R1 = 270 ?
C2 = 990 µF
R3 = 990 ?
L4 = 1100 µH
R5 = 330 ?
(a) [5] Obtain $V_c(0^+)$ and $i_L(0^+)$ 
(b) [10] Obtain $dV_c(0^+)/dt$ and $di_L(0^+)/dt$
(c) [10] Is the transient response overdamped, critically damped, or under-damped?
Show your work.
(d) [15] Solve for the transient responses, $i_L(t)$ and $V_c(t)$ for $t \ge 0.$

Problem #4: For the circuit in problem #2, a switch was added between
A and resistor R1 as shown below. Consider that the switch, S1 is opened at t = 0:
S1
R1
t=0
Vs
B
R3
C
+
C2 Vc
il L4
I
R5
E
D
Vs=5 V
R1 = 270 ?
C2 = 990 µF
R3 = 990 ?
L4 = 1100 µH
R5 = 330 ?
(a) [5] Obtain Vc(0^+) and iL(0^+)
(b) [10] Obtain dVc(0^+)/dt and diL(0^+)/dt
(c) [10] Is the transient response overdamped, critically damped, or under-damped?
Show your work.
(d) [15] Solve for the transient responses, iL(t) and Vc(t) for t ≥ 0.

Added by Eileen H.

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