# 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

(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

(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.

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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