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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 ________.

Explanation:

Given:

 

 

Reflection coefficient,

 

 

 

 

Average Power delivered to Load,

 

 

 

 

 

Alternate Solution:

Given:  

 

 

 

 

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_______.

Explanation:

 

Normalized impedance

 

 

 

             

            

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 ________.

Explanation:

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

Explanation:

Let us evaluate  and  first at

(a)  :

 

   

 

 

(b)  :

 

Here,

Hence,

From previous discussion in ,

 

 

        (looking at options (a) is correct)

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).

Explanation:

For no reflection, impedance must be matched. Hence,  acts like a quarter wave impedance transformer.

So,

(i)

(ii) For impedance matching,

 

 

Here,

Hence, for minimum distance,

So,

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

Explanation:

Given

As we know that,

 

Now, distance between successive voltage minima

 

Also, for minima,

 

At , 1st minima,

 

 

 

 

 

 

 

 

 

  

Here,

 Going through options,

 satisfy this

identity, hence option (b) and (c) are correct.’

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

Explanation: