Name: Reflection Coefficient for Non Ideal Conductor
Brand: EduBirdie
Rating: 5.0 (41 reviews)

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

227

Pages:

5
Author:

Jabin F.

#Reflection Coefficient for non-ideal Conductor:- (\sigma\ne\infty) R=\frac{(1+2\gamma^{2}-2\gamma)}{(1+2\gamma^{2}+2\gamma)} Here Y=\mu_{1}\nu_{1}\sqrt{\frac{\sigma_{2}}{2\mu_{1}\omega}} Dielectric Conductor \mu_{1},E_{1},V_{1} \mu_{2},E_{2},V_{2} E_{1}=E_{o}cos\omega t E_{2}=jE_{o}cos(\omega t+\phi) ⇒ if two waves are perpendicular polarized Then I=I_{1}+I_{2} =\frac{1}{2}c\epsilon_{o}E_{o}^{2}+\frac{1}{2}c\epsilon_{o}E_{o}^{2} =c\epsilon_{o}E_{o}^{2} (OPTION-b) Poynting vector \vec{S}=(\frac{\vec{E}\times\vec{B}}{\omega\mu_{o}}) \vec{s}:=\rho\frac{E^{2}}{\mu_{o}c}. \frac{E}{\beta}=C (E_{peak}) For spherical E.F. Ques-34 Page-98 \vec{E}(r,\theta,\phi)=\frac{\phi E_{o}}{r^{2}}sin\theta cos(\omega t-kz) \vec{E}=\vec{E}_{o}x\hat{i}cos(\omega t-kz) → plane wave \frac{E_{x}}{r^{2}},\frac{B_{\theta}}{r^{2}} → \frac{S_{x}}{r^{2}} → spherical waves.

=\int_{s}\vec{S}\cdot d\vec{s} This is valid for all types of waves. # If it takes cylindrical wave → y x r z Area is independent of r. Continuing Ques (Soln) from Page-285 ~~= /μ₀c = E²rms/μ₀c~~

~~= ∫s ~~⋅dS = E²rms/μ₀c ∫s dS = E²rms/μ₀c 4πr² Erms = √(~~~~

~~4πr²/μ₀c) = √(100×10⁻⁷×3×10⁸/4πr²) = 10⁵/√(30) V/m Erms ≈ 1095 V/m (option-b) Method-II (spherical)~~

~~= ∫s E²rms/μ₀c² dS = E²rms/μ₀c² 4πr² Erms = √(μ₀c²~~

~~/4πr²) = √(100×4π×10⁻⁷×3×10⁸/4πr²) = 54.77 V/m. (invalid)~~

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