GATE EE exam:gate PYQs & Answers — Page 18

Questions 171–180 of 715. Imported answers require independent review unless marked reviewed.

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where

, and

are strictly positive. The bus injections

and

are in pu. If

, where

, and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?

Diagram for Electrical Engineering question 41

Your answerChoose one option.

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A BJT biasing circuit is shown in the figure, where

V and

. The Quiescent Point values of

and

are respectively

Diagram for Electrical Engineering question 42

Your answerChoose one option.

4.6 V and 2.46 mA

3.5 V and 2.46 mA

2.61 V and 3.13 mA

4.6 V and 3.13 mA

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Let

be a real-valued function whose second derivative is positive for

. Which of the following statements is/are always true?

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

has at least one local minimum.

cannot have two distinct local minima.

has at least one local maximum.

The minimum value of

cannot be negative.

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Consider the function

for

, where

denotes the maximum of

and

. Which of the following statements is/are true?

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

is not differentiable.

is differentiable and its derivative is continuous.

is differentiable but its derivative is not continuous.

and its derivative are differentiable.

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Which of the following differential equations is/are nonlinear?

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

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For a two-phase network, the phase voltages

and

are to be expressed in terms of sequence voltages

and

. The possible option(s) for matrix

is/are

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

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Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators?

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

AGC response has a local effect on frequency while AVR response has a global effect on voltage.

AGC response has a global effect on frequency while AVR response has a local effect on voltage.

AGC regulates the field current of the synchronous generator while AVR regulates the generator’s mechanical power input.

AGC regulates the generator’s mechanical power input while AVR regulates the field current of the synchronous generator.

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Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is

. The admittance matrix of network Q is

. Let the ABCD matrix of the two-port network R in the figure be

. The value of

is __________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 48

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For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is 5 mH with their self inductances being 125 mH and 1 mH. The Thevenin’s impedance,

, between the terminals P and Q in

is ________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 49

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In the circuit shown,

and

. It is supplied by a three phase 400 V source with the phase sequence being R-Y-B. Assume the watt meters

and

to be ideal. The magnitude of the difference between the readings of

and

in watts is __________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 50

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GATE EE exam:gate PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50