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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Test  >  GATE Mock Test Series 2027  >  Test: Modelling of Control Systems- 2 - Electrical Engineering (EE) MCQ

GATE Electrical Engineering (EE) Test: Modelling of Control Systems- 2


MCQ Practice Test & Solutions: Test: Modelling of Control Systems- 2 (15 Questions)

You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Modelling of Control Systems- 2". These 15 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 45 minutes
  • - Number of Questions: 15

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Test: Modelling of Control Systems- 2 - Question 1
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Match List - I (Control system components) with List - II (Principle of operation) and select the correct answer using the codes given below the lists:
List - I
A. Synchronous
B. Potentiometer
C. Tachometer
List - lI
1. Mechanical displacement into electrical energy.
2. Angular position of a shaft into an electrical signal.
3. Electrical output proportional to speed.
Codes:

Test: Modelling of Control Systems- 2 - Question 2
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An a.c. servomotor

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Test: Modelling of Control Systems- 2 - Question 3
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Match List - I (Control System Components) with List - II (Applications) and select the correct answer using the codes given below the lists:
List - I
A. Stepper Motors
B. Synchros
C. Servomotors
D. Potentiometer
List - II
1. Radars, electromechanical actuators.
2. Displacement transducer
3. Printers, Watches
4. Detectors and encoders
Codes:

Test: Modelling of Control Systems- 2 - Question 4
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Match List - I (Types of friction) with List - II (Corresponding frictional force vs Velocity curve) and select the correct answer using the codes given below the lists:

Detailed Solution: Question 4

let's analyze the characteristics of each type of friction:

  1. Static friction (A) - This type of friction occurs when there is no relative motion between the surfaces in contact. The frictional force increases up to a maximum value as the applied force increases, and it equals the applied force until motion starts. After this point, it transitions to kinetic friction. This corresponds to a frictional force that stays at zero until the velocity starts changing.
  2. Coulomb friction (B) - Also known as kinetic or dry friction, this type of friction remains constant regardless of the velocity once the object is in motion. It is independent of the velocity of the moving surfaces. This corresponds to a horizontal line for the frictional force versus velocity curve.
  3. Viscous friction (C) - This type of friction is proportional to the velocity. The frictional force increases linearly with the velocity. This corresponds to a linear relationship between frictional force and velocity.

Now, match these characteristics with the curves in List-II:

  • Curve 1 shows a frictional force that increases linearly with velocity. This corresponds to Viscous friction.
  • Curve 2 shows a constant frictional force regardless of the velocity. This corresponds to Coulomb friction.
  • Curve 3 shows a frictional force that is zero until a certain point (indicating no movement) and then jumps to a certain value once motion starts. This corresponds to Static friction.

So, the correct matching is:

  • A: 3 (Static friction)
  • B: 2 (Coulomb friction)
  • C: 1 (Viscous friction)

The correct answer is (d): 3 2 1

Test: Modelling of Control Systems- 2 - Question 5
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Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.
”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.

Detailed Solution: Question 5

Both assertion and reason are true. However, the correct reason is that all the forces in the direction of reference direction are considered as positive and the forces opposite to the reference direction are taken as negative due to which the algebraic sum of forces is zero.

Test: Modelling of Control Systems- 2 - Question 6
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Assertion (A): When two time constant elements are cascaded interactively, the overall transfer function of such an arrangement is the product of two individual transfer functions.
Reason (R): There is loading effect present in such an arrangement.

Detailed Solution: Question 6

When two time constant elements are cascaded non-interactively, then the overall transfer function is the product of two individual TFs.
Hence, assertion is false.

Test: Modelling of Control Systems- 2 - Question 7
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Assertion (A): An a.c. servomotor used in control system applications must have high starting torque and low inertia.
Reason (R): A large value of rotor diameter and small axial length gives a higher value of starting torque and a low value of inertia.

Detailed Solution: Question 7

Reason is a false statement because small diameter and large axial length will give a lower value of inertia of motor.

Test: Modelling of Control Systems- 2 - Question 8
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Assertion (A): When the rotor of the synchro is inclined along any one of the stator axis completely, then this position is called electrical zero position.
Reason (R): When the rotor of the synchro is inclined along any one of the stator axis completely, then maximum voltage will be induced in that winding and almost zero voltage will be induced in the other two windings.

Test: Modelling of Control Systems- 2 - Question 9
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Assertion (A): Stepper motors can be used for speed control.
Reason (R): The motor speed is proportional to the rate of command pulses.

Detailed Solution: Question 9

Stepper motors can be used for speed control because the motor speed is proportional to the rate of command pulses.

Test: Modelling of Control Systems- 2 - Question 10
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The stator of the synchros is made of

Test: Modelling of Control Systems- 2 - Question 11
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A synchro is used to

Test: Modelling of Control Systems- 2 - Question 12
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A synchro transmitter-receiver unit is a

Test: Modelling of Control Systems- 2 - Question 13
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The transfer function of a tachometer is of the form

Test: Modelling of Control Systems- 2 - Question 14
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In force-current analogy stiffness constant K is analogous to

Detailed Solution: Question 14


and 

Test: Modelling of Control Systems- 2 - Question 15
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In liquid level systems, the units of capacitance of a tank is

Detailed Solution: Question 15

If q = flow; A = Area of cross-section and h = height of water in tank.

On comparing equations (i) and (ii), we have C (Farad) = A = m2

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About this Electrical Engineering (EE) Practice Test

This test contains 15 MCQs on Modelling of Control Systems- 2 with detailed solutions for each question. It is part of the GATE Electrical Engineering (EE) Mock Test Series 2027 course on EduRev, designed to align with the current Electrical Engineering (EE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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