Propagation of plane EM wave in perfect dielectric, lossy medium, good conductor, media attenuation, phase velocity, group velocity, skin depth. Reflection and re:fraction of plane electromagnetic waves at boundaries for normal & oblique incidence (parallel and perpendicular polarization), Snell's law of refraction, Brewster angle.
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Derivation of propagation of EM wave in a conducting medium
Propagation of EM wave in Lossy dielectric
Expression of propagation constant
Expression of attenuation constant
Expression of phase shift constant
Scalar wave equation
Expression of intrinsic impedance (eta) for perfect dielectric
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Derivation of propagation of EM wave in a perfect dielectric
Expression for : Attenuation constant, Phase shift constant, propagation constant, intrinsic impedance, wave length, velocity
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Derivation of propagation of EM wave in a good conductor
Expression for : Attenuation constant, Phase shift constant, propagation constant, intrinsic impedance, wave length, velocity
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Q) Derive the expression for attenuation constant and phase shift constant in a lossy dielectric
Calculation of alpha & beta of wave equation
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Skin depth
Skin effect
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Phase velocity
Group velocity
Animation explanation
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Derivation of reflection of plane wave at normal incidence
Derivation of reflection coefficient (Γ)
Derivation of transmission coefficient (τ)
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Derivation of reflection of plane wave at oblique incidence
Derivation of Snell's law
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Reflection of plane wave at oblique incidence - case 1 : Parallel polarization
Brewster angle
Fresnel's equation for parallel polarization
Reflection coefficient - Parallel polarized EM wave
Transmission coefficient - Parallel polarized EM wave
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Reflection of plane wave at oblique incidence - case 2 : Perpendicular polarization
Brewster angle
Fresnel's equation for perpendicular polarization
Reflection coefficient - Perpendicular polarized EM wave
Transmission coefficient - Perpendicular polarized EM wave
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Step by step solution
Q) An EM wave is designated by E=30 cos〖(2π×〖10〗^6 t-βx) a_y 〗 is passing through a lossless dielectric medium of μr=3 and εr=27 having frequency f=200Mz. Determine β, λ ,ʋp and η
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Step by step solution
Q2) A uniform plane wave propagating in a medium has E=2e^(-αz) sin〖(〖10〗^8 t-βz) a_y 〗 V/m. If the medium is characterised by εr=1, μr=20 and σ=3 s/m Find α,β & H
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Step by step solution
Q3) In a lossless dielectric for which η=60π, μr=1 and H=−0.1 cos(ωt−z) a_x+0.5 sin(ωt−z) a_y A/m. calculate εr, ω and E
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Step by step solution
Q4) Determine the skin depth in good conductor (conductivity σ=3.2×107 mhos/m) at frequency 10Mhz where μr=1
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Step by step solution
Q5) Given two dielectric media, the first medium is free space and the second medium has ε2 =4ε_0 and μ=μo. Find the reflection coefficient for oblique incidence at θ1= 30° for
i) perpendicular polarisation and ii) parallel polarisation