Question 1 Consider the circuit that is shown in Figure 1. 1) Please find the Thevenin's equivalent circuit with respect to terminals a and b; 2) Please find the node voltage vo(t); 3) Please find the time dependent function of the current through the capacitor for t≥ 0s; 4) Please determine the initial energy stored in the capacitor at t=0

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Question 1
Consider the circuit that is shown in Figure 1.
1) Please find the Thevenin's equivalent circuit with respect to terminals a and b;
2) Please find the node voltage vo(t);
3)
Please find the time dependent function of the current through the capacitor for t≥ 0s;
4) Please determine the initial energy stored in the capacitor at t=0
a
30 Ω
40
120 Ω
120 Ω
e-5tv
+
3002
b
a
Fig. 1.
48 52 vo(t)
ww
2.5 mF
+
=v(t)
Transcribed Image Text:Question 1 Consider the circuit that is shown in Figure 1. 1) Please find the Thevenin's equivalent circuit with respect to terminals a and b; 2) Please find the node voltage vo(t); 3) Please find the time dependent function of the current through the capacitor for t≥ 0s; 4) Please determine the initial energy stored in the capacitor at t=0 a 30 Ω 40 120 Ω 120 Ω e-5tv + 3002 b a Fig. 1. 48 52 vo(t) ww 2.5 mF + =v(t)
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