Question 3. Find v-(t) for t>0 in the circuit of Figure 3 when (a) C = 1/18 F, (b) C = 1/10 F, and (c) C = 1/20 F. + 2u(t) A v(t) 2 H a i(t) Figure 3

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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8Ω
Question 3. Find ve(t) for t> 0 in the circuit of Figure
3 when (a) C= 1/18 F, (b) C= 1/10 F, and (c) C= 1/20
+
F.
2ult) A
v(t)
2 H
a
i(t)
Figure 3
Transcribed Image Text:8Ω Question 3. Find ve(t) for t> 0 in the circuit of Figure 3 when (a) C= 1/18 F, (b) C= 1/10 F, and (c) C= 1/20 + F. 2ult) A v(t) 2 H a i(t) Figure 3
Expert Solution
Step 1

when t<0, there is no source in the circuit because current source is step function, which exists for t>0.

Therefore, current through inductor for t<0 is 0 Amp.

Voltage across capacitor for t<0 is 0 Volts.

For t>0:

Convert the circuit into Laplace transform circuit.

Calculate current through capacitor as

Ic(s)=2s*44+2s+8+1cs.

Voltage across the capacitor is 

Vc(s)=-(2s*4*1cs)12+2s+1cs V.                    

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