Question

Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane, where E, is zero

Answer 1

Question ! perfectly conducting + edium leila 6mum 8:100 MHZ X=0 a) as tiis polazed in Y-direction 27 a 3x108 a = - 3 108 21 co 3 Ei Geost 27ft B & ) ý mu/m bi =605( 27X 1094 - 27%) mom x (KXE) H; Ý

Hi 6 1 207 -6 Ls ( 27X1027 - 25x) Â Hi = 15.91 Cos ( 27X10%+ 2x2) xioº ź b) as medium is perfectly conducting Therefore T:-1, and direction of propagátion is prese - 6 cos (27x10° + + 2x4) û mym Lxcêx En ) (27X10° + + young) 1) À 15.91 cos ( 27x10++ young xros? En = TEIZ Hr HH : .6410-3 1 207 كما لا Hn = 15.91 Cos(2 AX 108 tt c) € Ei to En 2x8 3 - )9- cou(2.7x10' ++ 2 ${cos ( 24 xv0+ 3 El Hi tHM Hi 204 -6 2410 15.917 cos v { cos(2.sxr6 - ) t usfpszeud'ta 3 {gn phasor ? em form d) E = Et ei B& + EeiBa E + 10 fi = Et PeiBY as T: -1 -Pisa)

ELE e iB) l Etx 2; Ceiß& 21 E = -21 et sin CB x) E Ei : 0 at X=0 On BX m X 2 ł x 8 = m* 7 π =) X ma X = 0 For Nearest m=0, e je on the conducting place