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Test: Networks & Control Systems- 1 - Electrical Engineering (EE) MCQ


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15 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Networks & Control Systems- 1

Test: Networks & Control Systems- 1 for Electrical Engineering (EE) 2025 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Networks & Control Systems- 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Networks & Control Systems- 1 MCQs are made for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Networks & Control Systems- 1 below.
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Test: Networks & Control Systems- 1 - Question 1

Number of twigs in a tree are? n- number of nodes

Detailed Solution for Test: Networks & Control Systems- 1 - Question 1

The number of twigs (or terminal branches) in a tree can be calculated based on its structure. For a tree with n nodes, the following is true:

  • A tree with n nodes will always have n-1 edges (since it is a connected, acyclic graph).
  • The number of twigs or terminal branches corresponds to the leaf nodes, which depend on the tree's structure.

For most standard interpretations in tree theory, the number of edges is n−1n-1, and not directly the number of twigs.

Correct Answer:

c) n-1

Test: Networks & Control Systems- 1 - Question 2

Consider the following statements:
1. All loops are meshes
2. All meshes are loops.

Which of these statements is/are correct?

Test: Networks & Control Systems- 1 - Question 3

The reactance offered by a capacitor to alternating current of frequency 50 Hz is 20 Q. If frequency is increased to 100 Hz, reactance becomes_____ohms.

Detailed Solution for Test: Networks & Control Systems- 1 - Question 3

  • Reactance of a capacitor (XC) is calculated using the formula: XC = 1 / (2πfC).

  • Initially, at 50 Hz, XC = 20 Ω.

  • Reactance is inversely proportional to frequency. Hence, if frequency doubles, reactance is halved.

  • At 100 Hz, the frequency doubles, so XC becomes 20 Ω / 2 = 10 Ω.

  • Therefore, the reactance at 100 Hz is 10 Ω.

  • Correct answer is C: 10.


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Test: Networks & Control Systems- 1 - Question 4

Given the current through R is i = 1A. The value of R is ______________ Ω

Test: Networks & Control Systems- 1 - Question 5

A series RLC circuit has bandwidth as 1000 Hz with R = 10 Ω. If the resistance ‘R’ increased to 20 Ω, then the bandwidth of  the circuit is __________

Test: Networks & Control Systems- 1 - Question 6

In a series RL circuit, 12 V rms is measured across the resistor, and 14 V rms is measured across the inductor. The peak value of the source voltage is

Test: Networks & Control Systems- 1 - Question 7

Current in some branches are given in the below figure. The value of T is ____________

Test: Networks & Control Systems- 1 - Question 8

The circuit shown below is the

Test: Networks & Control Systems- 1 - Question 9

A system has bandwidth as 4000 Hz with rise time 2.5 seconds. If the rise time decreased to 1.25 seconds then the bandwidth is ___________ Hz

Test: Networks & Control Systems- 1 - Question 10

A system with pole at -1 +j had settling time as 3 secs. If the pole shifted to -2+3j the settling time is _________ sec

Test: Networks & Control Systems- 1 - Question 11

In “force - current” analogy, equivalent of viscous coefficient is _________ and in “force - voltage" analogy, equivalent of spring constant is ______________   

Test: Networks & Control Systems- 1 - Question 12

A system has transfer function (5 - S)/(5 + S). It is a _______

Test: Networks & Control Systems- 1 - Question 13

Consider the following ‘3’ transfer functions.

Among these minimum phase system (s) i s/are

Test: Networks & Control Systems- 1 - Question 14

The purpose of Pi controller is to improve ___________ of the system.

Test: Networks & Control Systems- 1 - Question 15

Below figure is a pole-zero plot of a ____________

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