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

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**(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

**(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

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?

Statement 1 is true and statement 2 is false

Statement 1 is false and statement 2 is true

Both the statements are true

Both the statements are false

**(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

**(Topic: Control Systems)**

**(Subtopic: State space model)**

**(Sub-Subtopic: Calculation of transfer function)**

Consider a state-variable model of a system

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

**(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

100mV

500mV

600mV

2V

**(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

100 mV

400 mV

500 mV

600 mV

**(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