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Circuit Theory and Networks Question Paper - May 18 - Electronics And Telecomm (Semester 3) - Mumbai University (MU)
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Circuit Theory and Networks - May 18

Electronics And Telecomm (Semester 3)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.

1.a. Draw equivalent circuit for given magnetically coupled circuit.

enter image description here

(5 marks) 00

1.b. In the given network of Fig., switch is opened at t = 0. Solve for v and $\frac{d v}{d t}$ at t = 0+.

enter image description here

(5 marks) 00

1.c. Prove that AD − BC = 1 for Transmission parameters.
(5 marks) 00

1.d. Define the following parameter of transmission lines:

i. Input impedance

ii. Characteristics Impedance

iii. VSWR

iv. Reflection Coefficient

v. Transmission Coefficient

(5 marks) 00

2.a. In the network shown in Fig., switch is changed from position 1 to position 2 at t = 0, steady condition having reached before switching. Find the values of i, $\frac{d i}{d t} \quad$ and $\frac{d 2 i}{d t 2}$ at t = 0+.

enter image description here

(10 marks) 00

2.b. For the network shown in Fig., find Z and Y-parameters.

enter image description here

(10 marks) 00

3.a. Find currents in the three meshes of network shown in Fig.

enter image description here

(10 marks) 00

3.b. The parameters of a transmission lines arc are R = 65Ω/km, L=1.6mH/km, G = 2.25 mmho/km, C=0.1μF/km. Find

i. Characteristic Impedance

ii. Propagation Constant

iii. Attenuation Constant

iv. Phase Constant at 1kHz

(10 marks) 00

4.a. Determine whether following functions are positive real

i) $\frac{s^{4}+3 s^{3}+s^{2}+s+2}{s^{3}+s^{2}+s+1}$

ii) $\frac{s(s+3)(s+5)}{(s+1)(s+4)}$

(10 marks) 00

4.b. Obtain Thevenin equivalent network of Fig.,

enter image description here

(10 marks) 00

5.a. Find Y-parameters for the network shown in Fig.,

enter image description here

(10 marks) 00

5.b. Realize the following functions in Foster II and Cauer I form $Z(s)=\frac{2\left(s^{2}+1\right)\left(s^{2}+9\right)}{s\left(s^{2}+4\right)}$
(10 marks) 00

6.a. A transmission line has a characteristics impedance of 50 ohm and terminate in a load $Z_{L}=25+$ j50 ohm. Use smith chart and Find VSWR and Reflection coefficient at the load.
(10 marks) 00

6.b. In the network of Fig., switch is in position 'a' for a long time. At t = 0 switch is moved from a to b. Find v₂ (t). Assume that the initial current in 2 H inductor is zero.

enter image description here

(10 marks) 00

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