Transient analysis: 1) Use Thevenin's theorem to convert the circuit of Figure 1 to the circuit of Figure 2 by finding out the values of V1 and R1. Now using the circuit of Figure 2, find out the expression of i_c(t) as a function of time. Figure 1: 1 k? 1.25 k t = 0 8 V 3 kl 2 mA 1 µF- i.(t) Figure 2: R1 =? kN Vị =? V 1 µF vi(t) wps.com 2) Now we want to check if the superposition principle works in this case or not. First we turn the voltage source off and keep the current source on in the following Figure 1. Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now using the circuit of Figure 2, find out the expression of ic_1(t) as a function of time. Figure 1: 1 kN 1.25 kN t = 0 ov 3 kn 2 mA ( 1 µF Figure 2: R =? kN t= 0 V =? V 1 µF vic_1(t) 3) Now we turn the current source off and keep the voltage source on in the following Figure 1. Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now using the circuit of Figure 2, find out the expression of ic_2(t) as a function of time. Figure 1: 1 kN 1.25 k 8 V 3 kN, O mA 1 µF Figure R1 =? kf? t= 0 Vị =? V 1 µF v ic_2(t) 4) Is ic¡(1) + ic,(t) = ic(t) ? ( ic(t) being the expression that we found in step 1) Does the superposition principle work in this case for time varying current also?

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Transient analysis:
1) Use Thevenin's theorem to convert the circuit of Figure 1 to the circuit of Figure 2 by
finding out the values of V1 and R1. Now using the circuit of Figure 2, find out the
expression of i_c(t) as a function of time.
Figure 1:
1 k!
1.25 k?
t = 0
3 kN.
2 mA
1 µF-
i(t)
Figure 2:
R1 =? kN
t=0
Vị =? V
1 µF
vi(t)
wps.com
2) Now we want to check if the superposition principle works in this case or not. First we
turn the voltage source off and keep the current source on in the following Figure 1.
Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now using the
circuit of Figure 2, find out the expression of ic_1(t) as a function of time.
Figure 1:
1 k
1.25 ko
t= 0
ov
3 kN
2 ma ()
1 µF
Figure 2:
R1 =? k£!
t =0
V =? V
1 µF
v ic_1(t)
3) Now we turn the current source off and keep the voltage source on in the following
Figure 1. Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now
using the circuit of Figure 2, find out the expression of ic_2(t) as a function of time.
Figure 1:
1 kN
1.25 k?
8 V
3 kN.
O mA
1 µF
Figure
R1 =? k?
t= 0
Vị =? V
1 µF
v ic_2(t)
4) Is ic¡(t) + ic,(t) = ic(t)?
( ic(t) being the expression that we found in step 1)
Does the superposition principle work in this case for time varying current also?
Transcribed Image Text:Transient analysis: 1) Use Thevenin's theorem to convert the circuit of Figure 1 to the circuit of Figure 2 by finding out the values of V1 and R1. Now using the circuit of Figure 2, find out the expression of i_c(t) as a function of time. Figure 1: 1 k! 1.25 k? t = 0 3 kN. 2 mA 1 µF- i(t) Figure 2: R1 =? kN t=0 Vị =? V 1 µF vi(t) wps.com 2) Now we want to check if the superposition principle works in this case or not. First we turn the voltage source off and keep the current source on in the following Figure 1. Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now using the circuit of Figure 2, find out the expression of ic_1(t) as a function of time. Figure 1: 1 k 1.25 ko t= 0 ov 3 kN 2 ma () 1 µF Figure 2: R1 =? k£! t =0 V =? V 1 µF v ic_1(t) 3) Now we turn the current source off and keep the voltage source on in the following Figure 1. Then we convert it to the circuit of Figure 2 using Thevenin's theorem. Now using the circuit of Figure 2, find out the expression of ic_2(t) as a function of time. Figure 1: 1 kN 1.25 k? 8 V 3 kN. O mA 1 µF Figure R1 =? k? t= 0 Vị =? V 1 µF v ic_2(t) 4) Is ic¡(t) + ic,(t) = ic(t)? ( ic(t) being the expression that we found in step 1) Does the superposition principle work in this case for time varying current also?
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