GATE EE year:2025 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

Let

be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of n, the divergence of the radial vector field

is independent of R?

Your answerSelect all correct options. You can choose more than one.

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Consider two coupled circuits, having self-inductances

and

, that carry non-zero currents

and

, respectively. The mutual inductance between the circuits is M with unity coupling coefficient. The stored magnetic energy of the coupled circuits is minimum at which of the following value(s) of

Your answerSelect all correct options. You can choose more than one.

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Let

. The rate of change of the real valued function,

at the origin in the direction of the point (1,2) is __________ (round off to the nearest integer).

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Consider ordinary differential equations given by

with initial conditions

and

, 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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GATE EE year:2025 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60