GATE EC 2015 Set 1 — Question 65
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Electromagnetics → Plane Waves → Propagation in Lossless & Lossy Media
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Question
Consider a uniform plane wave with amplitude () of and frequency travelling in air, and incident normally on a dielectric medium with complex relative permittivity () and permeability () as shown in the figure.
The magnitude of the transmitted electric field component (in V/m) after it has travelled a distance of inside the dielectric region is _________.
Correct answer
0.08 to 0.12
Solution
1.Intrinsic impedance of air: .
2.Intrinsic impedance of the dielectric: .
3.Since , the reflection coefficient and the transmission coefficient . The transmitted field at the interface () is .
4.The propagation constant in the dielectric is:
5.The attenuation constant is .
6.The magnitude of the field at is:
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