GATE Electrical Engineering 2022


Question 1
The transfer function of a real system, H(s), is given as:
H(s)=\frac{As+B}{s^2+Cs+D}
where A, B, C and D are positive constants. This system cannot operate as
A
low pass filter.
B
high pass filter
C
band pass filter.
D
an integrator.
Electric Circuits   Magnetically Coupled Circuits, Network Topology and Filters
Question 1 Explanation: 
Put s=0, H(0)=\frac{A \times 0+B}{0+C \times 0+D}=\frac{B}{D}
So, the system pass low frequency component. Put s=\infty , H(\infty )=0
For high pass filter, high frequency component should be non zero. Hence this system cannot be operated as high pass filter.
Question 2
For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is
A
0
B
1
C
100
D
infinite
Analog Electronics   Small Signal Analysis
Question 2 Explanation: 
For ideal MOSFET, i_G=0
Therefore, Current gain, A_I=\frac{i_s}{i_G}=\infty


Question 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is
A
offset Mho relay.
B
over current relay.
C
differential relay
D
Buchholz relay.
Power Systems   Switch Gear and Protection
Question 4
The geometric mean radius of a conductor, having four equal strands with each strand of radius 'r', as shown in the figure below, is

A
4r
B
1.414r
C
2r
D
1.723r
Power Systems   Performance of Transmission Lines, Line Parameters and Corona
Question 4 Explanation: 
Redraw the configuration:

\therefore \; GMR=(r' \times 2r\times 2r\times 2\sqrt{2}r)^{1/4}
Where, r'=0.7788r
Hence, GMR=1.723r
Question 5
The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transposed three-phase transmission line, from the given choices are
A
1.1, 0.15 and 0.08
B
0.15, 0.15 and 0.35
C
0.2, 0.2 and 0.2
D
0.1, 0.3 and 0.1
Power Systems   Fault Analysis
Question 5 Explanation: 
We have,
X_0 \gt X_1=X_2
(for 3-\phi transposed transmission line)




There are 5 questions to complete.

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