GATE EE format:nat PYQs & Answers — Page 7

Questions 61–70 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 7 of 26

In the following differential equation, the numerically obtained value of y(t), at t = 1, is __________ (Round off to 2 decimal places).

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Three points in the x-y plane are (-1, 0.8), (0, 2.2) and (1, 2.8). The value of the slope of the best fit straight line in the least square sense is __________ (Round off to 2 decimal places).

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The expected number of trials for first occurrence of a “head” in a biased coin is known to be 4. The probability of first occurrence of a “head” in the second trial is __________ (Round off to 3 decimal places).

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Consider the state-space description of an LTI system with matrices

For the input,

, the value of

for which the steady-state output of the system will be zero, is _________ (Round off to the nearest integer).

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A three-phase synchronous motor with synchronous impedance of

per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is __________ (Round off to 2 decimal places).

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A three phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the supply voltage and frequency are reduced by 20%, the resultant speed of the motor in RPM (neglecting the stator leakage impedance and rotational losses) is _________ (Round off to the nearest integer).

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The period of the discrete-time signal

described by the equation below is

__________ (Round off to the nearest integer).

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The discrete-time Fourier transform of a signal

. Consider that

is a periodic signal of period

such that

Note that

. The magnitude of the Fourier series coefficient

is ______________ (Round off to 3 decimal places).

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For the circuit shown, if

, the instantaneous value of the Thevenin’s equivalent voltage (in Volts) across the terminals a-b at time

ms is __________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 51

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The admittance parameters of the passive resistive two-port network shown in the figure are

The power delivered to the load resistor

in Watt is _________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 52

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GATE EE format:nat PYQs

Question 34

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Question 45

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Question 50

Question 51

Question 52