NTA NET Electrical Engineering GATE 2018 Higher Questions and Answers Part 1

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  1. (Topic: Electric Circuits)

(Subtopic: Network Graph)

(Sub-Subtopic: Calculation of nodes, branches, and loops)

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

the graph is

(A) 11

(B) 12

(C) 13

(D) 14

  1. (Topic: Electric Circuits)

(Subtopic: Power and power factor in AC circuits)

(Sub-Subtopic: Power calculation)

In the figure, the voltages are 𝑣1(𝑡) = 100cos(𝜔𝑡), 𝑣2(𝑡) = 100cos(𝜔𝑡 + 𝜋/18) and

𝑣3(𝑡) = 100cos(𝜔𝑡 + 𝜋/36). The circuit is in sinusoidal steady state, and 𝑅 << 𝜔𝐿. 𝑃1 ,

𝑃2 and 𝑃3 are the average power outputs. Which one of the following statements is true?

Power calculation

Power Calculation

(A) 𝑃1 = 𝑃2 = 𝑃3 = 0

(B) 𝑃1 < 0, 𝑃2 > 0, 𝑃3 > 0

(C) 𝑃1 < 0, 𝑃2 > 0, 𝑃3 < 0

(D) 𝑃1 > 0, 𝑃2 < 0, 𝑃3 > 0

  1. (Topic: Control Systems)

(Subtopic: Transient and Steady‐state analysis of linear time invariant systems)

(Sub-Subtopic: Time response of 2nd order system)

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

Match the transfer functions

Match the Transfer Functions

(A) P-I, Q-II, R-III

(B) P-II, Q-I, R-III

(C) P-III, Q-II, R-I

(D) P-III, Q-I, R-II

  1. (Topic: Electromagnetic Fields)

(Subtopic: Electric Field Intensity)

(Sub-Subtopic: Image concept )

A positive charge of 1nC 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 . The z component of the E field at (0,0,0.1) is closest to

(A) 899.18 V/m

(B) -899.18 V/m

(C) 999.09 V/m

(D) -999.09 V/m

  1. (Topic: Engineering Mathematics)

(Subtopic: Calculus)

(Sub-Subtopic: Continuity and Differentiability)

Let be a real valued function of a real variable defined as , and . Which one of the following statements is true?

(A). is discontinuous at .

(B). is continuous but not differentiable at .

(C). is differentiable but its first derivative is not continuous at .

(D). is differentiable but its first derivative is not differentiable at .

  1. (Topic: Engineering Mathematics)

(Subtopic: Calculus)

(Sub-Subtopic: Directional directive)

The value of the directional derivative of the function at the point (2,-1,1) in the direction of the vector is

(A). 1

(B). 0.95

(C). 0.93

(D). 0.9

  1. (Topic: Engineering Mathematics)

(Subtopic: Complex Variables)

(Sub-Subtopic: Cauchy’s residue theorem)

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

(A).

(B).

(C).

(D).

  1. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: Logic gates)

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

the logic circuit

The Logic Circuit

(A).

(B).

(C).

(D).

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