M.Sc. (Semester (CBCS) Examination Nov/Dec-2018
Electronics Science
NETWORK ANALYSIS AND SYNTHESIS
Time: 2½ Hours Max. Marks: 70
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Use of nonprogrammable calculator is allowed.
Q.1 Select the most correct alternative 14
In a parallel resonant circuit, the circuit current at resonance is
Maximum Minimum
Zero One
For Tellegan's Theorem to satisfy, the algebraic sum of the power
delivered by the source is than power absorbed by all elements.
greater less
equal greater than or equal
A mesh is a loop which contains number of loops within it.
1 2
3 No loop
Two Two port networks are connected in cascade. The combination is
represented as a single two port network, by multiplying the individual

z-parameter matrices h-parameter matrices
y-parameter matrices ABCD parameter
The relation between current and voltage in case of inductor is?
v Ldt/di v Ldi/dt
v dt/di v di/dt
In a series RLC circuit, R 2 kΩ, L 1H and c
μf. The resonant
frequency is
2 × 104 Hz × 104Hz
104 Hz 2p × 104 Hz
The concept on which superposition theorem is based is
Reciprocity Duality
Linearity Non-linearity
Thevenin resistance Rth is found
by removing voltage sources along with their internal resistances
by short-circuiting the given two terminals
between any two terminals
between same open terminals as for Eth
Which law plays a significant role in the loop analysis of the network?
KCL KVL
Superposition Theorem None of the above
10) Reactance curve is basically a graph of individual reactance verse
Frequency Phase
Amplitude Time period
11) Which among the following condition is true at the resonance?
Xc XL Xc XL
Xc XL None of the above
12) Laplace transform of sin(at) is
a2 s2 a2 s2
s2/ a2 s2 a2/ a2 s2
13) If sinhat, then its Laplace transform is
eat s/s2 − a2
a/s2 − a2 Exists only if is complex
14) Final value theorem states that
0 ∞
Q.2 Answer the following. (Any Four) 08
State Kirchoffs Current Law.
State Thevenin's theorem.
What is Tank circuit in parallel resonant circuit?
Define the terms: Loop and Branch
State and explain Hurwitz polynomials.
Write Notes on (Any Two) 06
Explain the steps to be followed in node analysis.
Explain the properties of Hurwitz polynomials.
Obtain the laplace transform of unit step signal.
Q.3 Explain the following (Any Two) 08
Explain the time-shifting theorem of Laplace Transform.
Derive an expression for resonant frequency of a series circuit.
Test whether s 3/s 1 is a positive real function.
Answer the following (Any One) 06
Check the validity of Tellegan's theorem for the network shown below.
Find the voltage at nodes 1 and 2 for the network shown below.
Q.4 Answer the following (Any Two) 10
Describe impedance and phase angle of series resonant circuit.
Test whether the given polynomial P s s4 7s3 6s2 21s 8 is
Hurwitz.
Describe the open circuit impedance parameters.
Answer the following (Any One) 04
State and prove initial value theorem of Laplace Transform.
A series RLC circuit has the following parameter values: 10 L
0.01 C 100 μF. Compute the resonant frequency, bandwidth and
lower and upper frequencies of the bandwidth.
Q.5 Answer the following (Any Two) 14
Obtain Norton's equivalent network between terminals A and B.
Using mesh analysis, find the current through the 5Ω resistor for the
network shown below.
Discuss about driving point synthesis in detail.