Explain the following with an example each:
Network mesh and Network loop

(ii) Planar and Non-planar graphs

(iii) Incidence matrix and Reduced incidence matrix Draw the graph of the network shown in Figure 1. Select a suitable tree to write tie-set schedule. Hence, find the three loop currents. <img src='./qimages/11533-1b.jpg'> Discuss the maximum power transfer theorem for either in a.c. or d.c. circuit.
In the network shown in Figure there are four sources that act on the load ZL If the load is variable, for what value will load ZL receive the maximum power? <img src='./qimages/11533-2b.jpg'>
3.(a) What are the restrictions on Driving point function?
Obtain the Pole-zero diagram of the given function and obtain the time domain response.
2s 2s

4.(a) Solve the circuit shown in Figure 3 using Millman's theorem. <img src='./qimages/11533-4a.jpg'> State the Super position theorem.

(ii) Find out the current I shown in Figure 4. <img src='./qimages/11533-4b.jpg'>
5.(a) Write in detail about the conditions to be fulfilled for a function to be positive real.
Check whether s sqrt s^2 1 is a positive real function.

6.(a) The image impedance of the network shown in Figure 5 are Zi1 200 ohm and Zi2 100 ohm. Calculate the values of impedances Zl and Z2. <img src='./qimages/11533-6a.jpg'> What is a band pass filter? Prove that the cut-off frequency fc= 1/4nsqrtLC for constant-K high pass filter (T-section).

7. Write short notes on any two of the following: Transfer function and its properties Interconnections of two port networks Cut set matrix