NTA NET Electrical Engineering GATE 2012 Higher Questions and Answers Part 2

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  1. (Topic: Engineering Mathematics)

(Subtopic: Differential Equations)

(Sub-Subtopic: Linear differential equation)

The initial condition , the solution of the differential equation is

(A)

(B)

(C)

(D)

  1. (Topic: Signals and Systems)

(Subtopic: Laplace Transform and z-Transform)

(Sub-Subtopic: Unilateral Laplace transform)

The unilateral Laplace transform of is . The unilateral Laplace transform of is

(A)

(B)

(C)

(D)

  1. (Topic: Electric Circuits)

(Subtopic: Power and power factor in AC circuits)

(Sub-Subtopic: Average power)

The average power delivered to an impedance by a current is

(A)

(B)

(C)

(D)

  1. (Topic: Electric Circuits)

(Subtopic: Transient response of DC and AC networks)

(Sub-Subtopic: Source free network)

In the following figure, are ideal capacitors. has been charged to 12 V before the ideal switch S is closed at . The current for all is

ideal capacitors

Ideal Capacitors

(A) zero

(B) a step functions

(C) an exponentially decaying function

(D) an impulse function

  1. (Topic: Analog and Digital Electronics)

(Subtopic: Characteristics of diodes)

(Sub-Subtopic: Diode equivalent)

The i-v characteristics of the diode in the circuit given below are

The current in the circuit is

The current circuit

The Current Circuit

(A) 10 mA

(B) 9.3 mA

(C) 6.67 mA

(D) 6.2 mA

  1. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: Comparator)

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

(A) 4

(B) 6

(C) 8

(D) 10

  1. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: SR flip flop)

Consider the given circuit.

The Circuit

The Circuit

In this circuit, the race around

(A) does not occur

(B) occurs when CLK = 0

(C) occurs when CLK = 1 and A = B = 1

(D) occurs when CLK = 1 and A = B = 0

  1. (Topic: Electric Circuits)

(Subtopic: Power and power factor in AC circuits)

(Sub-Subtopic: Average power)

For the circuit shown in the figure, the voltage and current expressions are

and .

The average power measured by the Wattmeter is

(A)

(B)

(C)

(D)

  1. (Topic: Engineering Mathematics)

(Subtopic: Linear Algebra)

(Sub-Subtopic: Cayley Hamilton theorem)

Given that

and , the value of is

(A)

(B)

(C)

(D)

  1. (Topic: Engineering Mathematics)

(Subtopic: Calculus)

(Sub-Subtopic: Maximum value)

The maximum value of in the interval [1, 6] is

(A) 21

(B) 25

(C) 41

(D) 46

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