# NTA NET Electrical Engineering GATE 2012 Higher Questions and Answers Part 3

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1. (Topic: Electric Circuits)

(Subtopic: KCL, KVL, Node and Mesh analysis)

(Sub-Subtopic: KCL)

If , then is

(A)

(B)

(C)

(D)

1. (Topic: Analog and Digital Electronics)

(Subtopic: Oscillators and Feedback amplifiers)

(Sub-Subtopic: Negative feedback amplifier)

The voltage gain of the circuit shown below is

(A)

(B)

(C)

(D)

1. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: State transition diagram)

The state transition diagram for the logic circuit shown is

(A)

(B)

(C)

(D)

1. (Topic: Signals and Systems)

(Subtopic: Representation of continuous and discrete‐time signals)

(Sub-Subtopic: Discrete convolution)

Let denote the convolution of and , where and is a causal sequence. If and , then equals

(A) 0

(B) 1/2

(C) 1

(D) 3/2

1. (Topic: Analog and Digital Electronics)

(Subtopic: Operational amplifiers)

(Sub-Subtopic: High pass filter)

The circuit shown is a

(A) low pass filter with

(B) high pass filter with

(C) low pass filter with

(D) high pass filter with

1. (Topic: Analog and Digital Electronics)

(Subtopic: Simple diode circuits)

(Sub-Subtopic: rectifiers)

In the circuit shown, an ideal switch S is operated at 100 kHz with a duty ratio of 50 %. Given that is 1.6 A peak-to-peak and is 5 A dc, the peak current in S is

(A) 6.6 A

(B) 5.0 A

(C) 5.8 A

(D) 4.2 A

1. (Topic: Engineering Mathematics)

(Subtopic: Probability and Statistics)

(Sub-Subtopic: Independent events)

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is

(A) 1/3

(B) 1/2

(C) 2/3

(D) 3/4

1. (Topic: Electromagnetic Fields)

(Subtopic: Divergence)

(Sub-Subtopic: Divergence in spherical coordinates)

The direction of vector is radially outward from the origin, with where and is a constant. The value of for which is

(A) -2

(B) 2

(C) 1

(D) 0

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