Electrical Network Analysis and Synthesis Question Paper - May 18 - Electronics Engineering (Semester 3)

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Electrical Network Analysis and Synthesis - May 18

Electronics Engineering (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. Check for Hurwitz polynomial

$Q(S) = S^5 + S^3 + S^1$

$Q(S = S^4 + 6S^3 + 8S^2 +10 )$

(5 marks) 00

1.b. Obtain s-domain (Laplace Transform) equivalent circuit diagram of an inductor and capacitor with initial conditions.

(5 marks) 00

1.c. What are conditions for rational function F(S) with real coefficient to be p.r.f.?

(5 marks) 00

1.d. Explain Y-parameter in terms of Z-parameter.

(5 marks) 00

2.a. Realise the following function in Foster-I and Foster-II forms.

$Z(S)=\frac{3(S+2)(S+4)}{S(S+3)}$

(10 marks) 00

2.b. Realise the following function in Cauer -I and Cauer -II forms

$Z(S)=\frac{(S+1)(S+3)}{S^{2}+2 S}$

(10 marks) 00

3.a. Obtain hybrid parameter of the inter connected network.

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(10 marks) 00

3.b. The switch is closed at t = 0 find values of I,$ \frac {dI}{dt}$, $\frac{d^2I}{dt^2}$ at $t = 0^+$. Assume all initial current of inductor to be zero for circuit

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(10 marks) 00

4.a. Find the Thevins's equivalent network.

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(10 marks) 00

4.b. Obtain i (t) for $t \gt 0$

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(10 marks) 00

5.a. The poles and zeros of the network shown below are as follow: Poles at $-1 + j \sqrt{5}$ , $-1-j\sqrt{5}$, zeros at 1-3 and the scale factor is K. if Z(0) = 1. Find the values of $R_1, R_2, L$ and C enter image description here

(10 marks) 00

5.b. Find the current Ix using superposition theorem.

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(10 marks) 00

6.a. Check whether the following functions are prf or not:

$F(S)=\frac{2 S^{4}+7 S^{3}+11 S^{2}+12 S+4}{S^{4}+5 S^{3}+9 S^{2}+11 S+6}$

(10 marks) 00

6.b. Find Voltage across 5 $\Omega$ resistor using mesh analysis.

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(10 marks) 00

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