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

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**(Topic: Electric Circuits)**

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

**(Sub-Subtopic: KCL)**

If , then is

(A)

(B)

(C)

(D)

**(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)

**(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)

**(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

**(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

**(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

**(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

**(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