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GATE 2025 EMT Quiz 39
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Question 1
Find the value of group velocity (in m/s) if angular frequency and phase constant are related by the equation
when ![](https://gradeup-question-images.grdp.co/liveData/PROJ37276/1574402666208986.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37276/1574402665530923.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37276/1574402666208986.png)
Question 2
A 100 MHz plane wave in air is normally incident from air to a lossless medium (ϵr = 8, μr = 4). If the power carried by the wave in air is 10 W, then the power transmitted into the lossless medium is ________ W.
Question 3
A 200![](https://gradeup-question-images.grdp.co/liveData/PROJ3061/1488805215224710.png)
rad/s uniform plane with electric field vector
v/m is propagating in a lossless dielectric medium (
.If the wave enters free space normally at Z=0, the power density for Z>0 is given by
![](https://gradeup-question-images.grdp.co/liveData/PROJ3061/1488805215224710.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ3061/1488805215881115.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ3061/1488805216528996.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ3061/1488805217177556.png)
Question 4
The electric field intensity of a plane wave traveling in free space is given by the following expression
In this field, consider a square area 10 cm x 10 cm on a plane x + y = 1. The total time-averaged power (in mW) passing through the square area is __________.
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image298.png](https://gs-question-images.grdp.co/1458123796030525.png)
In this field, consider a square area 10 cm x 10 cm on a plane x + y = 1. The total time-averaged power (in mW) passing through the square area is __________.
Question 5
when a plane wave is incident normally from dielectric ‘1’(
onto ‘2’(
electric field of the transmitted wave is -2 times the electric field of the reflected wave
The ratio
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ5541/1498801945726952.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5541/1498801946364573.png)
The ratio
![](https://gradeup-question-images.grdp.co/liveData/PROJ5541/1498801947015343.png)
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