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Mini Mock on Network Theory & Control System for ESE 2018

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Question 1

A two port network is represented by ABCD parameters given by

If port-2 is terminated by R_L the input impedance seen at port-1 is given by

Question 2

Consider the network graph shown in figure. Which one of the following is NOT a ‘tree’ of this graph?
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Question 3

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1 Ω connected at port B draws a current of 3 A
(ii) 2.5 Ω connected at port B draws a current of 2 A

With 10 V dc connected at port A. the current drawn by 7 Ω connected at port B is

Question 4

In the AC network shown in the figure, the phasor voltage V_AB (in Volts) is:

Question 5

The time domain behavior of an RL circuit is represented by

For an initial current of

, the steady state value of the current is given by

Question 6

If R₁ = R₂ = R₄=R and R₃ = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image099.jpg$

Question 7

For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z₁ of the first section to the input impedance Z₂ of the second section is

Question 8

The transfer function

for the given signal flow graph is

Question 9

Consider a closed loop transfer function

with p a positive real parameter. The maximum value of p until which

remains stable is ________.

Question 10

Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown.
Which one of the following conclusions is correct?

Question 11

Which one of the following options correctly describes the locations of the roots of the equation s ⁴+s ²+1 =0 on the complex plane?

Question 12

The state diagram of a system is shown below. A system is described by the state-variable equations

The state variable equations of the system in the figure above are:

Question 13

The state transition matrix

of the system shown in the figure above is

Question 14

The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20 log|G(s)| ) is 32 dB and –8 dB at 1 rad/s and 10 rads/s respectively. The phase is negative for all ω. Then G(s) is

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ESE & GATE EE General

Jul 26ESE & GATE EE