GATE Electrical Engineering Higher Questions and Answers Paper 2013 Part 5

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32. (Topic: Analog and Digital Electronics)

(Subtopic: Amplifiers)

(Sub-Subtopic: Diode connected to BJT)

In the circuit shown below, has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If is +5 V, X and Y are digital signals with 0 V as logic 0 and as logic 1, then the Boolean expression for Z is

Diode connected to BJT

Diode Connected to BJT

(A)

(B)

(C)

(D)

Answer: (B)

33. (Topic: Analog and Digital Electronics)

(Subtopic: Operational amplifiers)

(Sub-Subtopic: inverting and non-inverting amplifier)

In the circuit shown below the op-amps are ideal. Then in Volts is

Inverting and non-inverting amplifier

Inverting and Non-Inverting Amplifier

(A) 4

(B) 6

(C) 8

(D) 10

Answer: (C)

34. (Topic: Control Systems)

(Subtopic: Block diagrams and Signal flow graphs)

(Sub-Subtopic: Mason’s gain formula)

The signal flow graph for a system is given below. The transfer function for this system is

Mason's gain formula

Mason's Gain Formula

(A)

(B)

(C)

(D)

Answer: (A)

35. (Topic: Signals and Systems)

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

(Sub-Subtopic: Step response)

The impulse response of a continuous time system is given by . The value of the step response at is

(A) 0

(B) 1

(C) 2

(D) 3

Answer: (B)

36. (Topic: Electric Circuits)

(Subtopic: Magnetic circuits)

(Sub-Subtopic: Quality factor)

Two magnetically uncoupled inductive coils have Q factors and at the chosen operating frequency. Their respective resistances are and . When connected in series, their effective Q factor at the same operating frequency is

(A)

(B)

(C)

(D)

Answer: (C)

37. (Topic: Electric Circuits)

(Subtopic: Magnetic circuits)

(Sub-Subtopic: Transformer turns ratio)

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage = 100V is applied across WX to get an open circuit voltage across YZ. Next, an ac voltage = 100V is applied across YZ to get an open circuit voltage across WX. Then, are respectively,

Transformer turns ratio

Transformer Turns Ratio

(A) and

(B) and

(C) and

(D) and

Answer: (B)

38. (Topic: Engineering Mathematics)

(Subtopic: Calculus)

(Sub-Subtopic: dy/dx calculation)

A function is defined over an open interval x = (1, 2). At least at one point in this interval, is exactly

(A) 20

(B) 25

(C) 30

(D) 35

Answer: (B)

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