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Solved Problems-2

Problem-2
The electric field intensity associated with a plane wave travelling in a perfect dielectric medium having μ = μ0 is given by,
 
Description: 37935.png V/m
 
Find the phase velocity, the permittivity of the medium and associated magnetic field vector Description: 37927.png. Velocity in free space = 3 × 108 m/s.
Solution
Here, ω = 6π × 107 rad/s, β = 0.4 π
 
phase velocity, Description: 37920.png
 
Now, Description: 37912.png
 
Description: 37902.png
 
By Maxwell’s equation,
 
or, Description: 37895.png
 
Comparing both sides, we get,
Hx = 0, Hz = 0
 
and
 
Description: 37885.png
 
or, Description: 37875.png
 
or, Description: 37866.png
 
Description: 37859.png
Description: 37851.png

Hence, the magnetic field is given as,
 
Description: 37841.png
 





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