MU Circuits and Transmission Lines - May 2016 Exam Question Paper

MU Electronics and Telecom Engineering (Semester 3)
Circuits and Transmission Lines
May 2016

Total marks: --
Total time: --

INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1(a) Determine Y-parameters for the network shown in fig 1(a)

5 M

1(b) Test if F(s) = S⁴+s³+5s²+3s+4 is a Hurwitz polynomial.

5 M

1(c) Two coils connected in series have self inductance 80 mH & 20 mH respectively
The total inductance of the circuit is found to 140 mH. Determine the
(i) mutual inductance between two coils and
(ii) The coefficient of coupling

5 M

1(d) Synthesize the following function into a network.

Z (s) = \frac{s^{2} + 2 s + 2}{s^{2} + s + 1}

$Z(s)=\dfrac{s^2+2s+2}{s^2+s+1}$ using cauer -I form.

5 M

2(a) Find the Thevenin's equivalent across the terminals XY for the circuit shown in fig2(a)

10 M

2(b) Determine the node voltage at node (1) & (2) of the Network Shown in fig 2(b) by using nodal analysis.

5 M

2(c) Test Whether

F (s) = \frac{s (s + 3) (s + 5)}{(s + 1) (s + 4)}

$F(s)=\dfrac{s(s+3)(s+5)}{(s+1)(s+4)}$ is a positive real function.

5 M

3(a) Synthesize the driving point function using Foster-I and Foster-II form

Z (s) = \frac{2 (s^{2} + 1) (s^{2} + 9)}{s (s^{2} + 4)}

$Z(s)=\dfrac{2(s^2+1)(s^2+9)}{s(s^2+4)}$

10 M

3(b) State and prove Initial value theorem.

5 M

3(c) A transmission line has distributed parameters R=6 Ohms / km, L-2.2 mH/km C=0.005 μF/km & G=0.005 μ mho/km
Determine characteristics impedance and propagation constant at 1KHz frequency.

5 M

4(a) Find ABCD parameters for the two port Network shown in fig 4(a).

10 M

4(b) Find Network functions

\frac{V_{1}}{I_{1}}, \frac{V_{2}}{I_{1}}, \frac{V_{2}}{V_{1}}

$\dfrac{V_1}{I_1},\dfrac{V_2}{I_1},\dfrac{V_2}{V_1}$ for the network shown in fig 4(b)

5 M

4(c) A transmission line has a characteristics impedance of 50+j 100Ω and is terminated in a load impedance of 73-j 42.5 Ω. Calculate
(a) The reflection coefficient
(b) The standing wave ratio.

5 M

5(a) The Network shown in fig 5(a), switch K is closed at t=0, Assume all initial conditions as zero. Find

i, \frac{d i}{d t}

$i,\frac{di}{dt}$ &

\frac{d^{2} i}{d t^{2}} at t = 0^{+}

$\dfrac{d^2i}{dt^2}\ \text{at}\ t=0^+$

10 M

5(b) Write the KVL equations in standard form for the N/W shown in fig 5(b)

5 M

5(c) Find poles and zero of the impedance Z(s) for the Network Shown in fig 5(c)

5 M

6(a) Why is the Impedance matching required? Draw the following normalized quantities on the smith chart.
(i) (3+i3) Ω
(ii) (1.0) Ω
(iii) (2-j1) Ω
(iv) j 1.0 Ω

5 M

6(b) Write short note on:
Time domain analysis using Laplace Transform.

5 M

6(c) Define the following terms
(i) Phase Velocity
(ii) Characteristics impedance
(iii) Reflection coefficients

5 M

More question papers from Circuits and Transmission Lines

SPONSORED ADVERTISEMENTS