Electrical Engineering GATE 2023 Questions with Answer

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Ques 1 Control Systems

For the block diagram shown in the figure, the transfer function Y(s)/R(s) is _______.

(2s+3)/(s+1)

(3s+2)/(s-1)

(s+1)/(3s+2)

(3s+2)/(s+1)

Ques 2 Control Systems

In the Nyquist plot of the open-loop transfer function G(s)H(s)=(3s+5)/(s-1) corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at _______.

G(s)H(s)=∞

G(s)H(s)=0

G(s)H(s)=3

G(s)H(s)=-5

Ques 3 Control Systems

Consider a unity-gain negative feedback system consisting of the plant G(s) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are

0, 0

1, 0

1, -1

-1, 1

Ques 4 Control Systems

The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is _______.

2.51e^-0.032s

e^-2.514s/(s+1)

1.04e^-2.514s

2.51e^-1.047s

Ques 5 Control Systems

Consider a lead compensator of the form

The frequency at which this compensator produces maximum phase lead is 4 rad/s. At this frequency, the gain amplification provided by the controller, assuming asymptotic Bode-magnitude plot of K(s), is 6 dB. The values of a and β, respectively, are _______.

1, 16

2, 4

3, 5

2.66, 2.25

Ques 6 Control Systems

Consider the state-space description of an LTI system with matrices

For the input sin(ωt), ω>0, the value of ω for which the steady-state output of the system will be zero, is _______. (Round off to the nearest integer).

1 is the correct answer.

Ques 7 Digital Circuits

Neglecting the delays due to the logic gates in the circuit shown in the figure, the decimal equivalent of the binary sequence [ABCD] of initial logic states, which will not change with the clock, is _______.

10 is the correct answer.

Ques 8 Electromagnetic Theory

In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constant magnitudes. A positive charge 'q' is released from rest at the origin. Which of the following statement(s) is/are true?

The charge will move in the direction of z with constant velocity.

The charge will always move on the y-z plane only.

The trajectory of the charge will be a circle.

The charge will progress in the direction of y.

Ques 9 Electromagnetic Theory

An infinite surface of linear current density K=5â_x A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnetic field intensity (H) at a point (1,1,1) due to the surface current in Ampere/meter is _______. (Round off to 2 decimal places).

2.50 is the correct answer.

Ques 10 Electronic Devices and Circuits

Consider the OP AMP based circuit shown in the figure. Ignore the conduction drops of diodes D₁ and D₂. All the components are ideal and the breakdown voltage of the Zener is 5 V. Which of the following statements is true?

The maximum and minimum values of the output voltage V_o are +15 V and -10 V, respectively.

The maximum and minimum values of the output voltage V_o are +5 V and -15 V, respectively.

The maximum and minimum values of the output voltage V_o are +10 V and -5 V, respectively.

The maximum and minimum values of the output voltage V_o are +5 V and -10 V, respectively.

Ques 11 Electronic Devices and Circuits

An 8-bit ADC converts analog voltage in the range of 0 to +5 V to the corresponding digital code as per the conversion characteristics shown in the figure. For V_in=1.9922 V, which of the following digital output, given in hex, is true?

64H

65H

66H

67H

Ques 12 Electronic Devices and Circuits

All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?

When switch S is ON, both D₁ and D₂ conduct and D₃ is reverse biased.

When switch S is ON, D₁ conducts and both D₂ and D₃ are reverse biased.

When switch S is OFF, D₁ is reverse biased and both D₂ and D₃ conduct.

When switch S is OFF, D₁ conducts, D₂ is reverse biased and D₃ conducts.

Ques 13 Electronic Devices and Circuits

The Zener diode in the circuit has a breakdown voltage of 5 V. The current gain β of the transistor in the active region is 99. Ignore base-emitter voltage drop V_BE. The current through the 20 Ω resistance in milliamperes is _______. (Round off to 2 decimal places).

47.37 is the correct answer.

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Electrical Engineering GATE 2023 Questions with Answer