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GATE EC 2021 Set 1 — Question 25

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MCQ+1 / -0.33MediumReflection & RefractionPlane WavesElectromagnetics

Electromagnetics → Plane Waves → Reflection & Refraction

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Question

Consider a rectangular coordinate system (x,y,z)(x, y, z) with unit vectors ax,ay,\mathbf{a}_x, \mathbf{a}_y, and az\mathbf{a}_z. A plane wave traveling in the region z≥0z \geq 0 with electric field vector E=10cos⁡(2×108t+βz)ay\mathbf{E} = 10 \cos(2 \times 10^8 t + \beta z) \mathbf{a}_y is incident normally on the plane at z=0z = 0, where β\beta is the phase constant. The region z≥0z \geq 0 is in free space and the region z<0z < 0 is filled with a lossless medium (permittivity ϵ=ϵ0\epsilon = \epsilon_0, permeability μ=4μ0\mu = 4\mu_0, where ϵ0=8.85×10−12 F/m\epsilon_0 = 8.85 \times 10^{-12} \text{ F/m} and μ0=4π×10−7 H/m\mu_0 = 4\pi \times 10^{-7} \text{ H/m}). The value of the reflection coefficient is
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