# GATE Electrical Engineering Higher Questions and Answers Paper 2013 Part 1

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1. (Topic: Analog and Digital Electronics)

(Subtopic: Operational amplifiers)

(Sub-Subtopic: BJT connected to op-amp)

In the circuit shown below what is the output voltage () on Volts if a silicon transistor Q and an ideal op-amp are used?

(A)

(B)

(C)

(D)

2. (Topic: Control Systems)

(Subtopic: Transfer function)

(Sub-Subtopic: Transfer function of RC network)

The transfer function of the circuit shown below is

(A)

(B)

(C)

(D)

3. (Topic: Signals and Systems)

(Subtopic: Linear Time Invariant and Causal systems)

(Sub-Subtopic: Output of LTI system)

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

(A)

(B)

(C)

(D)

4. (Topic: Signals and Systems)

(Subtopic: Linear Time Invariant and Causal systems)

(Sub-Subtopic: Output of LTI system)

The impulse response of a system is. For an input, the output is

(A)

(B)

(C)

(D)

5. (Topic: Signals and Systems)

(Subtopic: Laplace Transform and Z-Transform)

(Sub-Subtopic: Properties of causal and stable system in Laplace transform)

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

(A) All the poles of the system must lie on the left side of the axis.

(B) Zeros of the system can lie anywhere in the s-plane.

(C) All the poles must lie within s =1.

(D) All the roots of the characteristic equation must be located on the left side of the axis.

6. (Topic: Signals and Systems)

(Subtopic: Linear Time Invariant and Causal systems)

Two systems with impulse responses and are connected in cascade. Then the overall impulse response of the cascaded system is given by

(A) Product of and

(B) Sum of and

(C) Convolution of and

(D) Subtraction of from

7. (Topic: Electric Circuits)

(Subtopic: Maximum power transfer theorem)

(Sub-Subtopic: MPT in purely resistive load)

A source has an internal impedance of. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in should be

(A) 3

(B) 4

(C) 5

(D) 7

8. (Topic: Electric Circuits)

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is and if the voltage at the load terminals is , then the

(A) Load absorbs real power and delivers reactive power.

(B) Load absorbs real power and absorbs reactive power.

(C) Load delivers real power and delivers reactive power.

(D) Load delivers real power and absorbs reactive power.