# 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

(A)

(B)

(C)

(D)

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

(A) 4

(B) 6

(C) 8

(D) 10

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

(A)

(B)

(C)

(D)

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

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)

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,

(A) and

(B) and

(C) and

(D) and

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