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Test: Transmission Lines- 2 - Electrical Engineering (EE) MCQ


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20 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Transmission Lines- 2

Test: Transmission Lines- 2 for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Transmission Lines- 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Transmission Lines- 2 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Transmission Lines- 2 below.
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Test: Transmission Lines- 2 - Question 1

Double stub matching eliminates standing waves on the

Detailed Solution for Test: Transmission Lines- 2 - Question 1

Double stub matching eliminates standing waves on the source side of the left stub.

Test: Transmission Lines- 2 - Question 2

If Zsc = 64Ω and Zoc = 100 Ω, the characteristic impedance will be given by.

Detailed Solution for Test: Transmission Lines- 2 - Question 2

Characteristic impedance is given by

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Test: Transmission Lines- 2 - Question 3

Consider a lossless line with characteristic impedance R0 and VSWR = S. Then, the impedance at the point of voltage maxima and voltage minima are respectively given by

Detailed Solution for Test: Transmission Lines- 2 - Question 3

Given,
Z0 = R0
we have

and

Test: Transmission Lines- 2 - Question 4

If K is the reflection coefficient and S is the voltage standing wave ratio, then

Detailed Solution for Test: Transmission Lines- 2 - Question 4

Voltage standing wave ratio is given by

or,


(Using componendo and dividendo)
or,

Test: Transmission Lines- 2 - Question 5

In terms of R, L, G and C the propagation constant of a transmission line is given by

Detailed Solution for Test: Transmission Lines- 2 - Question 5

Propagation constant of a transmission line is given by

Test: Transmission Lines- 2 - Question 6

A line has  Z0 = 300∠0º Ω, and ZL = 150∠0º Ω  Voltage standing wave ratio (S) is given by

Detailed Solution for Test: Transmission Lines- 2 - Question 6

Given
Z0 = 300∠0º
and ZL =150∠0ºΩ

Test: Transmission Lines- 2 - Question 7

The characteristic impedance of a distortionless line is

Detailed Solution for Test: Transmission Lines- 2 - Question 7

Characteristic impedance,

or, 


(Since L/R = C/G for a distortionless line)


Hence, characteristic impedance of a distortionless line is purely real.

Test: Transmission Lines- 2 - Question 8

A transmission line works as a

Test: Transmission Lines- 2 - Question 9

A transmission line with a characteristic impedance Z0 is connected to a transmission line with characteristic impedance Zc. if the systme is being driven by a generator connected to the first line, then the overall transmission coefficient of current will be

Detailed Solution for Test: Transmission Lines- 2 - Question 9


The overall transmission coefficient is

Test: Transmission Lines- 2 - Question 10

Which of the following statements related to a transmission line is/are correct?
1. Transmission line elements are integral parts of the antenna, in some antenna system.
2. A feeder is a particular case of a transmission Sine.
3. A lossless transmission line doesn’t has resistance but, has a non-zero value of leakage conductance.
4. At radio frequency (RF), R and G both are neglected.

Detailed Solution for Test: Transmission Lines- 2 - Question 10
  • Statements-1 and 2 are true.
  • Statement-3 is not correct because in a lossless transmission line there is neither resistive loss (i.e. R = 0) nor any leakage current (i.e. G = 0).
  • At radio frequency (RF), the inductive reactance is much larger than the resistance and so also the capacitie susceptance in comparison to the shunt conductance. Hence, at radio frequencies R and G both are neglected. Thus, statement-4 is correct.
Test: Transmission Lines- 2 - Question 11

Assertion (A): A finite transmission line terminated in its characteristic impedance Z0, is equivalent to an infinite line.
Reason (R): The input impedance of an infinite line is the characteristic impedance of the line.

Detailed Solution for Test: Transmission Lines- 2 - Question 11

The input impedance of a finite line terminated in its characteristic impedance (Z0), is equivalent to an infinite line because the input impedance of an infinite line is the characteristic impedance of the line (Z0). Hence, both assertion and reason are true and reason is the correct explanation of assertion.

Test: Transmission Lines- 2 - Question 12

Consider the following statements:
1. Propagation constant is a dimensionless quantity.
2. When the line is lossless, propagation constant is directly proportional to the frequency.
3. Propagation constant when multiplied with the frequency gives the electrical length of the line.
Which of the above statements is/are true?

Detailed Solution for Test: Transmission Lines- 2 - Question 12
  • Propagation constant is dimensionless quantity because it is the ratio of voltages or currents.

    or,

    (where, P = Propagation constant) Hence, statement-1 is correct.
  • For a lossless transmission line,

    ∴ VP α f
    Thus, statement - 2 is also correct.
  • Statement-3 is also true.
    Thus, all statements are true.
Test: Transmission Lines- 2 - Question 13

Assertion (A): The group velocity is usually more than the phase velocity.
Reason (R): If the transmission line or transmission medium is such that different frequencies travel with different velocities, then the line or the medium is said to be dispersive.

Detailed Solution for Test: Transmission Lines- 2 - Question 13

Group velocity is given by

Phase velocity or velocity of propagation is given by

The group velocity is usually less than the phase velocity. Hence, assertion is a false statement.

Test: Transmission Lines- 2 - Question 14

Assertion (A): A transmission line act as resonant circuit and is used in many applications at high frequencies in antenna design and other ratio circuitory
Reason (R): An open and short-circuited lines behaves like resonant circuit when length of line is an integral multiple of λ/3.

Detailed Solution for Test: Transmission Lines- 2 - Question 14

Assertion is correct because when a transmission line is open or short-circuited it behaves as resonant circuit. However, reason is false because this happens when length of the line is an integral multiple of λ/4.
We knnw that
Zoc = -j cot βl
and Zsc = jZ0 tan βl
Thus, when βl = length of line = nλ/4 , then
cot βl = 0
and tan βl = ∞
∴ Zoc = 0
and Zsc = ∞
This means a quarter wave short-circuit line represents an infinite impedance at inpul terminals, just like a parallel resonant (LC) circuil and a λ/4 open circuit line present zero impedance at input terminals just like a series resonant LC circuit.

Test: Transmission Lines- 2 - Question 15

Assertion (A): Sometimes a quarter wave line is called as impedance inverter.
Reason (R): The quarter wavelength line transforms a load impedance ZR that is smaller than Z0 into a value Zs that is larger than Z0 and vice-versa.

Test: Transmission Lines- 2 - Question 16

ln an impedance smith chart, a clockwise movement along a constant resistance circle gives rise to

Test: Transmission Lines- 2 - Question 17

A transmission line whose characteristic impedance is purely resistive

Detailed Solution for Test: Transmission Lines- 2 - Question 17

If the transmission line is to have neither frequency nor delay distortion, then α (attenuation constant) and velocity of propagation cannot be functions of frequency.
V = ω/β β 
must be a direct function of frequency to achieve this condition
LG = CR
L/C = R/G
z0 = √((R + jωL)/(G + jωC))
For a lossless line,
z0 = √(L/C)
α = √(RG) = 0 for R = 0, G = 0
β = ω√(LC)
A loss less line is always a distortion less line.

Test: Transmission Lines- 2 - Question 18

The input impedance of a short circuited quarter wave long transmission line is

Detailed Solution for Test: Transmission Lines- 2 - Question 18

Input impedance of a short-circuited quarter wave line depends on the nature of load impedance ZL.

Test: Transmission Lines- 2 - Question 19

A rectangular air filled waveguide has cross section of 4 cm x 10 cm. The minimum frequency which can propagate in the waveguide is

Detailed Solution for Test: Transmission Lines- 2 - Question 19

Test: Transmission Lines- 2 - Question 20

A 2 kVA transformer has an iron loss of 150 W and a full-loss copper loss of 250 W. At what total loss would the transformer's maximum efficiency occur?

Detailed Solution for Test: Transmission Lines- 2 - Question 20
- The maximum efficiency of a transformer occurs when the iron loss equals the copper loss at that specific load.
- Given: Iron loss = 150 W, Full-load copper loss = 250 W.
- At maximum efficiency, the total loss is the sum of the iron loss and the copper loss at that load point where they are equal.
- The total loss for maximum efficiency = Iron loss + Copper loss = 150 W + 250 W = 400 W.
- Thus, the correct answer is 400 W.
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