M.Sc. (Semester (CBCS) Examination Oct/Nov-2017
Electronic Science
NETWORK ANALYSIS AND SYNTHESIS
Day Date: Saturday, 18-11-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
Instructions: Q. and are compulsory.
Answer any three questions from Q.3 to Q.7.
All questions carry equal marks.
Use of nonprogrammable calculator is allowed.
Q.1 Choose the alternatives given below. 06
Superposition theorem is valid only for
Linear circuits Both linear and nonlinear
Nonlinear circuits Complex circuits
KCL works on the principle of which of the following.
Law of conservation of charge
Law of conservation of energy
Both a and b
Law of conservation of voltage
A network has 4 nodes and 3 independent loops what is the number of
branches in the network?
5 6
7 8
What is the total reactance of a series RLC circuit at resonance?
Equal to XL Equal to XC
Equal to R Zero
Laplace transform of the unit impulse function − is:
e-as eas
e-t None of the above
If a two port network is passive, then we have with usual notations, the
following relationship for symmetrical network is
h12 h21 h12 -h21
h11 h21 h11h22 h12 h21 1
State True or false. 08
A polynomial is said to be Hurwitz if the roots of polynomials have real parts
which are zero or negative.
In series circuit, the current flowing through all the resistances will be the
same and equal to the total current.
The Laplace transform of unit step signal is one.
A node of a network is an equi-potential surface at which two or more circuit
elements are joined.
The equity factor is defined a the ratio of the energy dissipated in one
period to maximum energy stored.
For the maximum power transfer, the relation between Zs and Z1 Zs*
Page 2 of 2
SLR-MH-318
Initial condition for a capacitor with voltage is short circuit. T
For an RC driving -point impedance function, the poles and zeros should
alternate on the real axis F.
Q.2 Attempt the following.
Explain time shifting theorem in terms of laplace transform. 05
Explain initial conditions of network in a capacitor. 05
Compare: Series resonance and Parallel resonance. 04
Q.3 Explain the mesh analysis. Find the current through the resistor of the
network shown below.
10
Explain series combination of resistors and obtain an expression for voltage
division and power in it.
04
Q.4 Derive an expression for resonant frequency of a tank circuit in parallel
resonant circuit.
08
Explain unit step and shifted unit step functions in brief. 06
Q.5 Find the current through j4 impedance for the network below using
superposition theorem.
10
Find the laplace transform of et−a, t a 04
Q.6 Using node voltage analysis, find the currents I1, I2, I3 for the network shown
below:
08
In the network shown below, check the validity of Tellegan's theorem. 06
Q.7 Explain the properties of Hurwitz polynomial. Test whether the polynomial
s4 7s3 6s2 21s 8 Hurwitz using Routh-array method.
10
Mention the properties of positive real functions.