GATE EE format:nat PYQs & Answers — Page 3 — Exam Papers

Questions 21–30 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 3 of 26

Consider ordinary differential equations given by

with initial conditions

and

.

If

, then at

,

__________ (round off to the nearest integer).

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Let C be a clockwise oriented closed curve in the complex plane defined by

. Further, let

be a complex function, where

. Then,

__________ (round off to the nearest integer).

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The op-amps in the following circuit are ideal. The voltage gain of the circuit is _____ (round off to the nearest integer).

Diagram for Electrical Engineering question 56

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The switch (S) closes at

sec. The time, in sec, the capacitor takes to charge to 50 V is _____ (round off to one decimal place).

Diagram for Electrical Engineering question 57

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In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a 2

resistor, three voltmeters are connected as shown in the figure below. The voltmeter readings are as follows:

,

,

. Assuming perfect resistors and ideal voltmeters, the Load-active power measured in this experiment, in W, is _______ (round off to one decimal place).

Diagram for Electrical Engineering question 58

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In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage

for unit change in the resistance

, in mV/Ω, is ______________ (round off to two decimal places).

Diagram for Electrical Engineering question 59

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The steady state capacitor current of a conventional DC-DC buck converter, working in CCM, is shown in one switching cycle. If the input voltage is 30 V, the value of the inductor used, in mH, is ______________ (round off to one decimal place).

Diagram for Electrical Engineering question 60

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An ideal low pass filter has frequency response given by

. Let

be its time domain representation. Then

_____ (round off to the nearest integer).

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Consider the state-space model

where

are the state, input and output, respectively. The matrices

are given below

The sum of the magnitudes of the poles is ____________ (round off to nearest integer).

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Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The line current of the capacitor bank, in A, is ____________ (round off to one decimal place).

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