Electrical Engineering Gate 2021 Questions with Answer

Ques 1 GATE 2021


The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave rectified waveform to the RMS value of the clipped waveform is _______. (Round off to 2 decimal places.)


(1.15) is the correct answer.

Ques 2 GATE 2021


A 100 Hz square wave, switching between 0 V and 5 V, is applied to a CR high-pass filter circuit as shown. The output voltage waveform across the resistor is 6.2 V peak-to-peak. If the resistance R is 820 Ω, then the value C is _______ μF. (Round off to 2 decimal places.)


(11.95) is the correct answer.

Ques 3 GATE 2021


A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio \\frac{|IB|}{|IR|} is

Load Image


(1) is the correct answer.

Ques 4 GATE 2021


In the given circuit, for maximum power to be delivered to RL, its value should be _______ Ω. (Round off to 2 decimal places.)


(2.00) is the correct answer.

Ques 5 GATE 2021


An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance M between the windings of the transformer is _______ μH. (Round off to 2 decimal places.)


(10.99) is the correct answer.

Ques 6 GATE 2021


For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is

A

10 V in series with 12 Ω

B

65 V in series with 15 Ω

C

50 V in series with 2 Ω

D

35 V in series with 2 Ω


(c) is the correct answer.

Ques 7 GATE 2021


In the given circuit, the value of capacitor C that makes current I=0 is _______ μF.


(2 to 2) is the correct answer.

Ques 8 GATE 2021


In the given circuit, for voltage vy to be zero, the value of β should be _______ (Round off to 2 decimal places).


(ars) is the correct answer.

Ques 9 GATE 2021


The Bode magnitude plot for the transfer function Vo(s) / Vi(s) of the circuit is as shown. The value of R is _______ Ω. (Round off to 2 decimal places.)


() is the correct answer.

Ques 10 GATE 2021


A signal generator having a source resistance of 50 Ω is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is _______ F. (Round off to 2 decimal places.)


() is the correct answer.

Ques 11 GATE 2021


In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time t = 0, then iL(t) in amperes, for t≥0 is

A

8e-10t

B

10

C

8 + 2e-10t

D

10(1-e-2t)


(c) is the correct answer.

Ques 12 GATE 2021


The input impedance, Zin(s), for the network shown is

A

23s2 + 46s + 20 / 4s + 5

B

6s + 4

C

7s + 4

D

25s2 + 46s + 20 / 4s + 5


(d) is the correct answer.

Ques 13 GATE 2021


Consider a closed-loop system as shown. Gp(s) = ¼4.4 / s(1 + 0.1s) is the plant transfer function and Gc(s) = 1 is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is _______ rad/s. (Round off to 2 decimal places.)


(12.00) is the correct answer.

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