liner circuit analysis

Linear Circuit Analysis-II

EE/CE-202-Spring 2020

Final Assignment

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Question (1) [40 points]:

For the Circuit shown, given that 𝑉(𝑡) = 2𝑢(𝑡)𝑉, 𝐼(𝑡) = 2(𝑡)𝐴, 𝐼𝐿1(0

−) = 2𝐴, 𝐼𝐿2(0 −) =

4𝐴, 𝑉𝐶(0 −) = 0𝑉, R=12 , L1=0.5H, L2=1H and C=1F do the following:

a) [10 points] Draw the circuit in the S-domain including the initial conditions, show

all the values and units on the circuit.

b) [20 points] Find the voltage across the capacitor C, 𝑉𝐶(s). c) [10 points] Why do we need to use S-domain in analyzing AC electrical circuits?

Can we use phasor domain in analyzing AC electrical circuits? Explain why?

Question (2) [30 points]:

For the following circuit, given that R1=R2=2, L1=0.2H, L2=2H, M=0.2H and C=1F.

Do the following:

a) [10 points] Draw the circuit in the S-domain, show all the values and units on the

circuit.

b) [10 points] Calculate the input impedance seen by the source in the S-domain.

c) [10 points] Find the transfer function H(s) = 𝑉𝑜(𝑠)

𝑉(𝑠) .

Question (3) [30 points]:

For the following transformer circuit below, given that a=0.2, R1=2 and C1=0.2F and

C2=2F. Do the following:

a) [10 points] Calculate the input impedance seen by the source in the S-domain.

b) [10 points] Given that 𝑉(𝑡) = 5cos⁡(5t + 30𝑜)𝑉, find the steady state response of

the current signal 𝐼𝑖𝑛(𝑡).

c) [10 points] Assume that we brought two coils which are not connected

electrically, when an AC power supply is connected to coil one, a current is

detected in the second coil, explain in details with your own words how did we get

that current in coil two without any source connected to it and how can we

increase this current?

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