# Janardan Rai Nagar Rajasthan Vidyapeeth 2006 B.Tech Computer Science and Engineering SIGNALS AND NETWORKS - Question Paper

JRN Rajasthan Vidyapeeth University

COMPUTER SCIENCE ENGINEERING

SEMESTER 3

SIGNALS AND NETWORKS

# Model Question Paper

**BSCO2 / BSE2 /
BSET2 ****- SIGNALS AND NETWORKS**

** **

**Duration : 3
hrs Maximum
Marks: 75 **

**Instruction: **

- Question paper is divided into Group A, Group B, and Group C
- Each Group is of 25 marks
- Figure to the right in bracket indicate marks.
- Good Handwriting is expected.

**Group A (25 Marks)**

** **

**Answer
any three questions (Question 1 is compulsory)**

- Explain the ramp function and find its Laplace transformation. (5)
- Solve (
*D*^{3}3*D*^{2}+ 3*D*-1) y = t^{2 }e^{t}given that y(0) = 1, y′(0) = 0, y′′ (0) = -2 (10) - Write the necessary condition for transfer point function. (10)
- Explain (a) Node (b) Branch (c) Tree (d) Incidence matrix (c) Cotree (10)
- Explain with proper diagrams what do you mean by shifted impulse function and shifted step function. (10)

**Group B (25 Marks)**

**Answer any Three Questions
: ( Question 6 is compulsory )**

- Solve the following
differential equation x( t ) + 3 x( t ) + 2 x( t ) = 4e
^{t}. Given that

x( 0- ) = 1 and x( 0- ) = -1. (5)

- Find out the inverse Laplace transform of F(S) = S - 2

S ( S + 1 )^{3}
(10)

- Determine the driving point impedance Z( s ) for the network shown in figure. (10)

- Find the poles and zeros of the network function
N(S) = S
^{2}( S + 2 ) ( S + 1 ) ( S^{2}+ 4S + 5 )

and plot them. (10)

- Obtain foster I and foster II form of the following impedance function (10)

Z(S)
= (S^{2} + 1 ) (S^{2} + 9 )

S ( S^{2}
+ 4 )

**Group C (25 Marks)**

**All
questions are compulsory. **

** **

**Q. 11. Fill in the blanks
(Each question carries 2 marks, Total = 10 marks) **

- The final value theorem states that __________________.
- The Laplace transformation of unit ramp function is ____________________.
- The hybrid parameters are _________________________.
- h parameters find extensive use in ________________ circuit.
- Voltage ratio transfer function is _______________ .

**Q. 12. Multiple choice questions
(Each question carries 2 marks, Total = 10 marks) Select the correct answer.**

- Transfer impedance function
Z
_{21}( s ) is

a) I_{1}(
s ) / I_{2}( s ) b) V_{2}( s
) / I_{1}( s )

c) I_{1}(
s ) / V_{2}( s ) d) V_{2}( s ) / V_{1}(
s )

- For a reciprocal network Z
_{21 = __________________ }.

a) Z_{22}
b) Z_{21}

c) Z_{11 } d)
none

- The Laplace transform of 5 is

a) 0 b) 5 / s

c) 1 / s d) 1

- The Laplace transform of first derivative of function f( t ) is

a) F ( s ) / s b) s F ( s ) f( 0 )

c) F ( s ) f( 0 ) d) f ( 0 )

- The unit of linear frequency ( f ) is

a) cycles per second b) radians

c) Hentry d) Farad

**Q.
13. Indicate whether following statements are True or False (Each question
carries 1 marks, Total = 5 marks)**

- Mesh analysis is based on KVL.
- The number of branches in a tree is more than the number of branches in a graph.
- The signal x( t ) is said to be odd or nonsymmetric if x( -t ) = -x( t ).
- Y parameters are reciprocal of Z parameters.
- Differentiation of Laplace transform of unit function is equal to impulse function.

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Earning: Approval pending. |