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National Champion Test -GATE 2018 EE: Network Theory

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Question 1

Find the location of the pole for the given two-port network:
           

Question 2

Predict the Equivalent current I in the following figure, in response to a voltage of 20 0 °V. The impedance values are given in ohms. Use the thevenin’s theorem.

          I→
          

Question 3

A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network

Question 4

The switch in the figure below was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for t ≥ 0, is

Question 5

The poles and zeroes of a driving point impedance function, Z(s) are as follows:

i)  Poles 0, - 2                                  ii)   Zeroes -1, -3     

Also given that Z(∞) = 4 then Find the function Z(s)?

Question 6

For the circuit shown below, the value of R is adjusted, so as to make the current in RL equal to zero. What is the value of R?

Question 7

For the given circuit shown in the figure below, the initial inductor current and the voltage across the capacitor are zero and 2, respectively. When the switch S is closed at t = 0, the values of v and dv/dt are, respectively

Question 8

A network has a zero at and poles at the multiplier being unity. If the input is unit-step function, then what is the steady state response?

Question 9

A series R-L-C circuit is connected to a 25 V source of variable frequency. The circuit current is found to be a maximum of 0.5 A at a frequency of 400 Hz and the voltage across C is 150 V. Assuming ideal components, the values of R and L are respectively

Question 10

Determine the load resistance to derive maximum power in the given circuit.
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Apr 6ESE & GATE EE