GATE EE format:mcq PYQs & Answers — Page 34

Questions 331–340 of 437. Imported answers require independent review unless marked reviewed.

Topic practice 437 questionsPage 34 of 44

Consider a lossy transmission line with

and

as the sending and receiving end voltages, respectively.

and

are the series impedance and reactance of the line, respectively. The steady-state stability limit for the transmission line will be

Your answerChoose one option.

greater than $\left|\frac{V_1 V_2}{X}\right|

less than $\left|\frac{V_1 V_2}{X}\right|

equal to

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The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is

Your answerChoose one option.

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In the figure, the voltages are

and

. The circuit is in sinusoidal steady state, and

and

are the average power outputs. Which one of the following statements is true?

Diagram for Electrical Engineering question 8

Your answerChoose one option.

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Match the transfer functions of the second-order systems with the nature of the systems given below.

Transfer functions: P:

Nature of system: I: Overdamped II: Critically damped III: Underdamped

Your answerChoose one option.

P-I, Q-II, R-III

P-II, Q-I, R-III

P-III, Q-II, R-I

P-III, Q-I, R-II

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A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x-y plane to be a conducting ground plane. Take

F/m. The Z component of the E field at (0, 0, 0.1) is closest to

Your answerChoose one option.

89.18 V/m

−89.18 V/m

999.09 V/m

−999.09 V/m

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Let f be a real-valued function of a real variable defined as

for

, and

for

. Which one of the following statements is true?

Your answerChoose one option.

f(x) is discontinuous at x = 0.

f(x) is continuous but not differentiable at x = 0.

f(x) is differentiable but its first derivative is not continuous at x = 0.

f(x) is differentiable but its first derivative is not differentiable at x = 0.

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The value of the directional derivative of the function

at the point (2, −1, 1) in the direction of the vector

Your answerChoose one option.

0.95

0.93

0.9

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The value of the integral

in counter clockwise direction around a circle C of radius 1 with center at the point

Your answerChoose one option.

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In the logic circuit shown in the figure, Y is given by

Diagram for Electrical Engineering question 14

Your answerChoose one option.

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The op-amp shown in the figure is ideal. The input impedance

is given by

Diagram for Electrical Engineering question 15

Your answerChoose one option.

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GATE EE format:mcq PYQs

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