Question

A5-MHz wave propagates in a lossy medium characterized with g = 32 S/m, ε = 36.4=1. a) Compute the loss tangent of the medium and determine whether this medium is a low-loss dielectric, a good conductor, or neither. b) Compute the wavelength of the wave in the medium. c) After traveling a distance equal to 3 penetration depths into the medium, the wave's E-field amplitude has decreased to 0.25 V/m. What is the initial E-field amplitude just after the wave enters the medium? d) Compute the time-averaged power density (i.e., the magnitude of the time-averaged Poynting vector, Sar) after the wave has traveled a distance of 2 cm in the medium.

Answer 1

sol: Giveni f. 5 MHz P=32 S/m, € -36,4=1 que loss tangent - tanp - le tand Non ideal (or) lossy then it is ideal dielectric 11 § 0.1 dielectric Semiconductor Non ideal conductor ideal conductor 11 210 16 =A tand 32 50.028X10 QUE X 5X106x361 128 X10 <ol so it is lossy dielectric Dr P = June 16 TOT XIO 6X 1 X 89 d ß = 22.418163 शा शा B 22.41413 11 =0.38x16² m

Ifuo TX 5810 6 X 32 Tinitial Electric field Ext ©? Es= 0-95 Vn - E(35) so Sa -6 S= 44.6610 38 - 133.8710-6 E(2) - Exté (2/ (Q E(35) (382 Ext ext 5:021 -22 + Exe = ४ est + E x e -3 0.25 t E 0.25 e-3 Iso! P= El an Tech Si us = ?

는 25 2.10 156 २ 75 W/m2 있는

OP(x-2cm) -7 (252cm) = ? .2x10² E (2) - Exté E (Qcm) - P=0 OZ t 44.6210-6 5 6 so