A uniform plane wave propagating in a medium has

if the medium is characterized by ϵr = 1, μr = 20 and σ = 3 S/m. The value of α and β are respectively.

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ESE Electronics Prelims 2021 Official Paper
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  1. 30.70 Np/m, 30.70 rad/m
  2. 61.40 Np/m, 61.40 rad/m
  3. 122.80 Np/m, 122.80 rad/m
  4. 15.35 Np/m, 15.35 rad/m

Answer (Detailed Solution Below)

Option 2 : 61.40 Np/m, 61.40 rad/m
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Concept:

The waves are used for the transportation of energy or information.

Characteristics of a plane wave in good conductors.

In a good conductor σ >> ωϵ 

σ ≈ ∞, ϵ = ϵ0, μ = μ0μr  

Calculation:

Given ϵr = 1, μr = 20, σ = 3 S/m and 

Hence the given medium is a good conductor.

In a good conductor the values of α and β are:

α = β = 61.39

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