 MORE IN Electrical Network Analysis and Synthesis
MU Instrumentation Engineering (Semester 3)
Electrical Network Analysis and Synthesis
May 2015
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) Find Ix.
Ix is current through 5 ohm resistance flowing towards the node. 5 M
1 (b) Find i(O-), i(O+) for the network shown below. 5 M
1 (c) Find Z21 for the network. 5 M
1 (d) Check the positive realness of the following functions.
F(s)=S2+2s+4
F(s)=S2+2S/(s2+1).
5 M

2 (a) Find current I2 using mesh analysis. 10 M
2 (b) For the graph shown, write incidence matrix, tieset matrix and f-cutset matrix. 10 M

3 (a) In the network shown, steady state is reached with switch open. At t=0, the switch is closed. For the elements values given, set the values of.
Va(O-), Vb(O-) & Va+), Vb(O+).
resistance value is 10 ohms and Inductor value is 2H; point a and point b are on two sides of 20 ohms branch (point a above the switch and point b above the inductor). 10 M
3 (b) Find current in 20Ω branch using thevenin's theorem. 10 M

4 (a) For the shown circuit switch is moved from a to b det i(t) and Vc(t). 10 M
4 (b) Obtain z parameters for the network shown. 10 M

5 (a) State and explain properties of Hurwitz polynomial.
5 M
5 (b) State whether the polynomials are Hurwitz.
i) P(S)=S3+2S2+4S+2
ii) P(S)=S4+3S3+4S2+2S+3
iii) P(S)=S5+2S3+3.
5 M
5 (c) $\text{Det. }Vc(O^+), i_1(O^+) \dfrac {di_1}{dt}(O^+) \text{ and } \dfrac {di_2}{dt} (O^+) \text{ for the circuit}$ 10 M

6 (a) Synthesize the following function in Foster I and Foster II. $z(s) = \dfrac {6S^4+42S^2 + 48}{S^2+18S^3+ 48S}$
10 M
6 (b) $\text {Cal for the }\dfrac {V_2}{V_1}, \dfrac {I_2}{I_1}, \dfrac {V_1}{I_1}, \dfrac {V_2}{I_1} \text { for the.}$ 10 M

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