NTA NET Electrical Engineering GATE 2019 Higher Questions and Answers Part 3

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  1. (Topic: Signals and Systems)

(Subtopic: Fourier series representation of continuous periodic signals)

(Sub-Subtopic: Fourier series coefficients)

A periodic function , with a period of , is represented as its Fourier series,

If

The Fourier series coefficients and of are

  1. (Topic: Control Systems)

(Subtopic: Bode Plot)

(Sub-Subtopic: Phase angle calculation)

The asymptotic Bode magnitude plot of a minimum phase transfer function is shown below

Phase angle calculation

Phase Angle Calculation

Consider the following two statements:

Statement 1: Transfer function has three poles and one zero

Statement 2: At very high frequency , the phase angle

Which of the following options is correct?

  1. Statement 1 is true and statement 2 is false

  2. Statement 1 is false and statement 2 is true

  3. Both the statements are true

  4. Both the statements are false

  5. (Topic: Control Systems)

(Subtopic: Lead and Lead‐Lag compensators)

(Sub-Subtopic: Lead compensator)

The transfer function of a phase lead compensator is given by

The frequency (in rad/sec), at which is maximum, is

  1. (Topic: Control Systems)

(Subtopic: State space model)

(Sub-Subtopic: Calculation of transfer function)

Consider a state-variable model of a system

state-variable model

State-Variable Model

where y is the output, and r is the input. The damping ratio and the undamped natural frequency (rad/sec) of the system is given by

  1. (Topic: Analog and Digital Electronics)

(Subtopic: MOSFET)

(Sub-Subtopic: Drain current calculation)

The enhancement type MOSFET in the circuit below operates according to the square law. , the threshold voltage is 500 mV. Ignore channel length modulation. The output voltage is

Drain current calculation

Drain Current Calculation

  1. 100mV

  2. 500mV

  3. 600mV

  4. 2V

  5. (Topic: Analog and Digital Electronics)

(Subtopic: Operational amplifiers)

(Sub-Subtopic: Differential amplifier)

In the circuit below, the operational amplifier is ideal. If and , the output voltage () is

Operational amplifiers

Operational Amplifiers

  1. 100 mV

  2. 400 mV

  3. 500 mV

  4. 600 mV

  5. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: K-map)

The output expression for the Karnaugh map shown below is

Karnaugh map

Karnaugh Map

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