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

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**(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)

**(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)

**(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)

**(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

**(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

**(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

**(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

**(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)

**(Topic: Engineering Mathematics)**

**(Subtopic: Linear Algebra)**

**(Sub-Subtopic: Cayley Hamilton theorem)**

Given that

and , the value of is

(A)

(B)

(C)

(D)

**(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