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EMFT - ECE
Transmission Lines

Practice questions from Transmission Lines.

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Q#1 Transmission Lines GATE EC 2025 (Set 1) NAT +2 marks -0 marks

A  lossless transmission line is terminated with a load  of .

If the average incident power on the line is 10 mW, then the average power delivered to the load (in mW, rounded off to one decimal place) is ________.

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Q#2 Transmission Lines GATE EC 2024 (Set 1) MCQ +1 mark -0.33 marks

Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances , and  (indicated in the figure) are_______.

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Q#3 Transmission Lines GATE EC 2024 (Set 1) NAT +2 marks -0 marks

A lossless transmission line with characteristic impedance  is terminated with an unknown load. The magnitude of the reflection co-efficient is . As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in ) is ________.

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Q#4 Transmission Lines GATE EC 2023 (Set 1) MCQ +2 marks -0.66 marks

The S-parameters of a two port network is given as

 

with reference to . Two lossless transmission line sections of electrical lengths  and  are added to the input and output ports for measurement purposes, respectively. The Sparameters  of the resultant two port network is

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Q#5 Transmission Lines GATE EC 2023 (Set 1) NAT +2 marks -0 marks

A transparent dielectric coating is applied to glass  to eliminate the reflection of red light . The minimum thickness of the dielectric coating, in , that can be used is ________. (rounded off to two decimal places).

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Q#6 Transmission Lines GATE EC 2023 (Set 1) MSQ +2 marks -0 marks

The standing wave ratio on a  lossless transmission line terminated in an unknown load impedance is found to be 2.0. The distance between successive voltage minima is 30 cm and the first minimum is located at 10 cm from the load.  can be replaced by an equivalent length  and terminating resistance  of the same line. The value of  and , respectively, are

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Q#7 Transmission Lines GATE EC 2023 (Set 1) MSQ +2 marks -0 marks

The following circuit(s) representing a lumped element equivalent of an infinitesimal section of a transmission line is/are

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Q#8 Transmission Lines GATE EC 2021 (Set 1) MCQ +2 marks -0.66 marks

The impedance matching network shown in the figure is to match a lossless line having characteristic impedance  with a load impedance . A quarter-wave line having a characteristic impedance  is connected to . Two stubs having characteristic impedance of  each are connected to this quarter-wave line. One is a short-circuited (S.C.) sub of length  connected across  and the other one is an open-circuited (O.C.) stub of length  connected across RS.

The impedance matching is achieved when the real part of  is

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Q#9 Transmission Lines GATE EC 2020 (Set 1) MCQ +1 mark -0.33 marks

The impedances , for all  in the range , map to the Smith chart as

a circle of radius 0.5 with centre at .

a point at the centre of the chart.

a line passing through the centre of the chart.

a circle of radius 1 with centre at .

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Q#10 Transmission Lines GATE EC 2020 (Set 1) NAT +1 mark -0 marks

A transmission line of length  and having a characteristic impedance of  is terminated with a load of . The impedance (rounded off to two decimal places) seen at the input end of the transmission line is ________.

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Q#11 Transmission Lines GATE EC 2018 (Set 1) NAT +1 mark -0 marks

A lossy transmission line has resistance per unit length. The line is distortion-less and has characteristic impedance of . The attenuation constant (in Np/m, correct to three decimal places) of the line is_______

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Q#12 Transmission Lines GATE EC 2018 (Set 1) MCQ +1 mark -0.33 marks

The points P, Q, and R shown on the Smith chart (normalized impedance chart) in the following figure represent:

Untitled-5.png 

P: Open Circuit, Q: Short Circuit. R: Matched Load

P: Open Circuit, Q: Matched Load, R: Short Circuit

P: Short Circuit. Q: Matched Load, R: Open Circuit

P: Short Circuit, Q: Open Circuit, R: Matched Load

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Q#13 Transmission Lines GATE EC 2017 (Set 2) NAT +1 mark -0 marks

A two-wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is ___________

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Q#14 Transmission Lines GATE EC 2016 (Set 1) MCQ +1 mark -0.33 marks

The propagation constant of a lossy transmission line is (2 + j5)  and its characteristic impedance is (50+ jo)Ω at ω = rad . The values of the line constants L, C, R, G are, respectively,        

L = 200 μH/m, C = 0.1 μF/m, R = 50 Ω/m, G = 0.02 S/m

L = 250 μH/m, C = 0.1 μF/m, R = 100 Ω/m, G = 0.04 S/m

L = 200 μH/m, C = 0.2 μF/m, R = 100 Ω/m, G = 0.02 S/m

L = 250 μH/m, C = 0.2 μF/m, R = 50 Ω/m, G = 0.04 S/m

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Q#15 Transmission Lines GATE EC 2016 (Set 2) MCQ +2 marks -0.66 marks

A lossless micro strip transmission line consists of a trace of width. It is drawn over a practically infinite ground plane and is separated by a dielectric slab of thickness t and relative permittivity. The inductance per unit length and the characteristic impedance of this line are L and, respectively.

Which one of the following inequalities is always satisfied?

C:\Users\admin\Desktop\FREELANCER\kreatryx project 1\Project images\Q53-1.jpg

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Q#16 Transmission Lines GATE EC 2016 (Set 2) NAT +2 marks -0 marks

A microwave circuit consisting of lossless transmission lines  and  is shown in the figure. The plot shows the magnitude of the input reflection coefficient  as a function of frequency f. The phase velocity of the signal in the transmission lines is m/s.

C:\Users\admin\Desktop\FREELANCER\kreatryx project 1\Project images\Q54-1.jpg

The length L (in meters) of  is ________.

Z:\PY\ECE PY\All Updated figure\08-EMFT\P-633 (49).jpg

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Q#17 Transmission Lines GATE EC 2015 (Set 3) MCQ +1 mark -0.33 marks

A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon . Which one of the following circuits can represent the lumped element model of a small piece of this cable having length ∆z?

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Q#18 Transmission Lines GATE EC 2015 (Set 3) MCQ +2 marks -0.66 marks

Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of 120π Ω, is terminated by a short circuit, and is excited with a frequency of 37.5MHz. What is the nature of the input impedance ?

Open

Short

Inductive

Capacitive

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Q#19 Transmission Lines GATE EC 2015 (Set 3) NAT +2 marks -0 marks

A 200 m long transmission line having parameters shown in the figure is terminated into a load . The line is connected to a 400 V source having source resistance  through a switch, which is closed at t = 0. The transient response of the circuit at the input of the line (z = 0) is also drawn in the figure. The value of (in Ω) is ________.

Z:\PY\ECE PY\All Updated figure\08-EMFT\P-632 (46).jpg

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Q#20 Transmission Lines GATE EC 2014 (Set 1) MCQ +2 marks -0.66 marks

For a parallel plate transmission line, let ν be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in

Halving of ν and no change in Z

No changes in ν and halving of Z

No change in both ν and Z

Halving of both ν and Z

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Q#21 Transmission Lines GATE EC 2014 (Set 1) NAT +2 marks -0 marks

The input impedance of a   section of a lossless transmission line of characteristic impedance 50 Ω is found to be real when the other end is terminated by a load . If X is 30Ω , the value of R ( in Ω ) is _______.

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Q#22 Transmission Lines GATE EC 2014 (Set 2) NAT +1 mark -0 marks

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a λ/4 transformer as shown.

The characteristic impedance (in Ω) of the λ/4 transformer is _________.

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Q#23 Transmission Lines GATE EC 2014 (Set 2) NAT +2 marks -0 marks

In the transmission line shown, the impedance  (in ohms) between node A and the ground is _________.

Q54-1.jpg

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Q#24 Transmission Lines GATE EC 2014 (Set 3) MCQ +1 mark -0.33 marks

In the following figure, the transmitter Tx sends a wideband modulated RF signal via a coaxial cable to the receiver Rx. The output impedance  of Tx, the characteristic impedance of the cable and the input impedance of Rx are all real.

Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?

The signal gets distorted if , irrespective of the value of

The signal gets distorted if , irrespective of the value of

Signal distortion implies impedance mismatch at both ends:  and

Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency

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Q#25 Transmission Lines GATE EC 2012 (Set 1) MCQ +1 mark -0.33 marks

A coaxial cable with an inner diameter of 1 mm and outer diameter of 2.4 mm is filled with a dielectric of relative permittivity 10.89. Given  = 4π ×  H/m, , the characteristic impedance of the cable is

330 Ω

100 Ω

16 Ω

434 Ω

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Q#26 Transmission Lines GATE EC 2012 (Set 1) MCQ +2 marks -0.66 marks

A transmission line with a characteristic impedance of 100 Ω is used to match a 50 Ω section to a 200 Ω section. If the matching is to be done both at 429 MHz and 1 GHz, the length of the transmission line can be approximately

82.5 cm

1.05 m

1.58 m

1.75 m

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Q#27 Transmission Lines GATE EC 2011 (Set 1) MCQ +1 mark -0.33 marks

 is terminated by a  load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on the line is found to be  radians. The phase velocity of the wave along the line is

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Q#28 Transmission Lines GATE EC 2011 (Set 1) MCQ +2 marks -0.66 marks

A transmission line of characteristic impedance  is terminated in a load impedance . The VSWR of the line is measured as 5 and the first of the voltage maxima in the line is observed at a distance of  from the load. The value of  is        

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Q#29 Transmission Lines GATE EC 2010 (Set 1) MCQ +1 mark -0.33 marks

A transmission line has a characteristic impedance of  and a resistance of. If the line is distortion less, the attenuation constant (in Np/m) is

500

5

0.014

0.002

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Q#30 Transmission Lines GATE EC 2010 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration (VSWR) on the 60W line is

28.jpg

1.00

1.64

2.50

3.00

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Q#31 Transmission Lines GATE EC 2009 (Set 1) MCQ +2 marks -0.66 marks

A transmission line terminates in two branches, each of length , as shown. The branches are terminated by  loads. The lines are lossless and have the characteristic impedances shown. Determine the impedance  as seen by the source.

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Q#32 Transmission Lines GATE EC 2008 (Set 1) MCQ +2 marks -0.66 marks

One end of a loss-less transmission line having the characteristic impedance of  and length of 1cm is short-circuited. At 3GHz, the input impedance at the other end of the transmission line is

0

Resistive

Capacitive

Inductive

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Q#33 Transmission Lines GATE EC 2007 (Set 1) MCQ +2 marks -0.66 marks

A load of 50 Ω is connected in shunt in a 2-wire transmission line of Ω as shown in the figure. The 2-portscattering parameter matrix (S-matrix) of the shunt element is

Q67

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Q#34 Transmission Lines GATE EC 2007 (Set 1) MCQ +2 marks -0.66 marks

The parallel branches of a 2-wire transmission line are terminated in 100 Ω and 200 Ω resistors as shown in the figure. The characteristic impedance of the line is  –50Ω and each section has a length of The voltage reflection coefficient at the input is

Q68

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Q#35 Transmission Lines GATE EC 2006 (Set 1) MCQ +1 mark -0.33 marks

A transmission line is feeding 1 watt of power to a born antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free-space is:

10 Watts

1 Watt

0.1 Watt

0.01 Watt

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Q#36 Transmission Lines GATE EC 2006 (Set 1) MCQ +2 marks -0.66 marks

A 30-Volts battery with zero source resistance is connected to a coaxial line of characteristic impedance of 50 Ohms at t = 0 second terminated in an unknown resistive load. The line length is that it takes for an electromagnetic wave to travel from source end to load end and vice-versa. At, the voltage at the load end is found to be 40 Volts.

The load resistance is

25 Ohms

50 Ohms

75 Ohms

100 Ohms

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Q#37 Transmission Lines GATE EC 2006 (Set 1) MCQ +2 marks -0.66 marks

A 30-Volts battery with zero source resistance is connected to a coaxial line of characteristic impedance of 50 Ohms at t = 0 second terminated in an unknown resistive load. The line length is that it takes for an electromagnetic wave to travel from source end to load end and vice-versa. At, the voltage at the load end is found to be 40 Volts.

The steady-state current through the load resistance is:

1.2 Amps

0.3 Amps

0.6 Amps

0.4 Amps

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Q#38 Transmission Lines GATE EC 2005 (Set 1) MCQ +1 mark -0.33 marks

Many circles are drawn in a smith chart used for transmission line calculations. The circles shown in figure represent

15.jpg

Unit circles.

Constant resistance circles.

Constant reactance circles.

Constant reflection coefficient circles.

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Q#39 Transmission Lines GATE EC 2005 (Set 1) MCQ +2 marks -0.66 marks

Characteristic impedance of a transmission line is . Input impedance of the open circuited line is . When the transmission line is short-circuited the value of the input impedance will be

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Q#40 Transmission Lines GATE EC 2005 (Set 1) MCQ +2 marks -0.66 marks

Voltage standing wave pattern in a lossless transmission line with characteristic impedance and a resistive load is shown in figure

64.jpg

The value of the load resistance is         

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Q#41 Transmission Lines GATE EC 2005 (Set 1) MCQ +2 marks -0.66 marks

Voltage standing wave pattern in a lossless transmission line with characteristic impedance and a resistive load is shown in figure.

64.jpg

The reflection coefficient is given by        

–0.6

–1

0.6

0

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Q#42 Transmission Lines GATE EC 2004 (Set 1) MCQ +2 marks -0.66 marks

Consider a 300Ω quarter-wave long (at 1 GHz) transmission line as shown in Figure. It is connected to a 10V, 50Ω sources at one end and is left open circuited at the other end. The magnitude of the voltage at the open circuit end of the line is

36.jpg

10 V

5 V

60 V

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Q#43 Transmission Lines GATE EC 2004 (Set 1) MCQ +2 marks -0.66 marks

Consider impedance marked with point P in an impedance smith chart as shown in Fig.Q.88. The movement from point P along a constant resistance circle in the clockwise direction by an angle 45º is equivalent to

37.jpg

Adding an inductance in series with Z

Adding an capacitance in series with Z

Adding an inductance in shunt across Z

Adding an capacitance in shunt across Z

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Q#44 Transmission Lines GATE EC 2004 (Set 1) MCQ +2 marks -0.66 marks

A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is 2. The percentage of the power that is reflected back is

57.73

33.33

0.11

11.11

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Q#45 Transmission Lines GATE EC 2003 (Set 1) MCQ +2 marks -0.66 marks

A short-circuited stub is shunt connected to a transmission line as shown in Figure. If ohm, the admittance Y seen at the junction of the stub and the transmission line is

24.jpg

(0.01 - j0.02) ohm

(0.02 - j0.01) ohm

(0.04 - j0.02) ohm

(0.02 + j0) ohm

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Q#46 Transmission Lines GATE EC 2002 (Set 1) MCQ +1 mark -0.33 marks

In an impedance smith chart, a clockwise moment along a constant resistance circle gives rise to

A decrease in the value of reactance

An increase in the value of reactance

No change in the reactance value

No change in the impedance value

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Q#47 Transmission Lines GATE EC 2000 (Set 1) MCQ +1 mark -0.33 marks

The magnitudes of the open-circuit and short-circuit input impedances of a transmission line are  and  respectively. The characteristic impedance of the line is,

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Q#48 Transmission Lines GATE EC 2000 (Set 1) MCQ +2 marks -0.66 marks

Two coaxial cables 1 and 2 are filled with different dielectric constants  and  respectively. The ratio of the wavelengths in the two cables,  is

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Q#49 Transmission Lines GATE EC 2000 (Set 1) MSQ +2 marks -0 marks

Design a lossless impedance matching network shown in Figure to transform  to . Find the values of L, C and quality factor (Q) of the circuit at .

43.jpg

L = 1.591 nH

C = 6.366 pF

Q=2

Q=4

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Q#50 Transmission Lines GATE EC 1999 (Set 1) MCQ +1 mark -0.33 marks

Assuming perfect conductors of a transmission line, pure TEM propagation is NOT possible in

Coaxial cable

Air-filled cylindrical wave guide

Parallel twin-wire line in air

Semi-infinite parallel plate wave guide

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Q#51 Transmission Lines GATE EC 1999 (Set 1) MCQ +2 marks -0.66 marks

In a twin-wire transmission line in air, the adjacent voltage maxima are at 12.5 cm and 27.5 cm.

The operating frequency is

300 MHz

1 GHz

2 GHz

6.28 GHz

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Q#52 Transmission Lines GATE EC 1999 (Set 1) MCQ +2 marks -0.66 marks

In air, a lossless transmission line of length 50 cm with ,  is operated at 25MHz. Its electrical path length is

0.5 meters

 meters

 radians

180 degrees

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Q#53 Transmission Lines GATE EC 1998 (Set 1) MCQ +2 marks -0.66 marks

All transmission line sections shown in Figure have characteristic impedance. The input impedance  equals

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Q#54 Transmission Lines GATE EC 1997 (Set 1) MCQ +1 mark -0.33 marks

A transmission line of  characteristic impedance is terminated with a  resistance. The minimum impedance measured on the line is equal to

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Q#55 Transmission Lines GATE EC 1997 (Set 1) MCQ +1 mark -0.33 marks

A very lossy,  long,  transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately

0

None of the above

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Q#56 Transmission Lines GATE EC 1997 (Set 1) NAT +2 marks -0 marks

 section of a  transmission line, short circuited at one end and open circuited at the other end, is shown in the figure is  generator is connected at the midpoint of the section as shown in the figure. Find voltage magnitude at the open circuited end of the line.

25.jpg

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Q#57 Transmission Lines GATE EC 1996 (Set 1) MCQ +1 mark -0.33 marks

The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and  respectively. The velocity of a travelling wave on the transmission line is

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Q#58 Transmission Lines GATE EC 1994 (Set 1) NAT +1 mark -0 marks

A load impedance  is to be matched to a lossless transmission line by using a quarter wave line transformer (QWT). The characteristic impedance of the QWT required is ____

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Q#59 Transmission Lines GATE EC 1994 (Set 1) NAT +1 mark -0 marks

If a pure resistance load, when connected to a lossless 75-ohm line, produces a VSWR of 3 on the line, then the load impedance can only be 25 ohms. (True=1,False=0)

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Q#60 Transmission Lines GATE EC 1993 (Set 1) MCQ +2 marks -0.66 marks

Consider a transmission line of characteristic impedance of 50 ohm. Let it be terminated at one end by +j50 ohm. The VSWR produced by it in the transmission line will be

+1

0

+j

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Q#61 Transmission Lines GATE EC 1992 (Set 1) MCQ +2 marks -0.66 marks

A transmission line whose characteristic impedance is a pure resistance

Must be a lossless line

must be a distortion less line

May not be a lossless line

may not be distortion less line

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Q#62 Transmission Lines GATE EC 1991 (Set 1) MCQ +1 mark -0.33 marks

The input impedance of a short-circuited lossless transmission line quarter wave length is

purely reactive

purely resistive

infinite

dependent on the characteristic impedance of the line.

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