Model Question Paper

BSCO2 / BSE2 / BSET2 - SIGNALS AND NETWORKS

 

Duration : 3 hrs Maximum Marks: 75

Instruction:

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

 

Group A (25 Marks)

 

Answer any three questions (Question 1 is compulsory)

1. Explain the ramp function and find its Laplace transformation. (5)
2. Solve (D³ 3D² + 3D -1) y = t² e^t given that y(0) = 1, y′(0) = 0, y′′ (0) = -2 (10)
3. Write the necessary condition for transfer point function. (10)
4. Explain (a) Node (b) Branch (c) Tree (d) Incidence matrix (c) Cotree (10)
5. 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 )

 

6. 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)

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

S ( S + 1 )³ (10)

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

 

 

 

 

 

 

 

 

9. Find the poles and zeros of the network function N(S) = S² ( S + 2 ) ( S + 1 ) ( S² + 4S + 5 )

and plot them. (10)

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

Z(S) = (S² + 1 ) (S² + 9 )

S ( S² + 4 )

 

 

 

 

 

 

 

 

 

Group C (25 Marks)

All questions are compulsory.

 

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

 

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

 

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

 

1. Transfer impedance function Z₂₁( s ) is

a) I₁( s ) / I₂( s ) b) V₂( s ) / I₁( s )

c) I₁( s ) / V₂( s ) d) V₂( s ) / V₁( s )

2. For a reciprocal network Z_{21 = __________________} .

a) Z₂₂ b) Z₂₁

c) Z₁₁ d) none

3. The Laplace transform of 5 is

a) 0 b) 5 / s

c) 1 / s d) 1

4. 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 )

5. 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)

 

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

 

 

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