1 ) A satellite in Geosynchronous orbit (37000 Km above the equator ) is used for communication at 30 GHz . The Atmosphere is 15 Km thick . Assume free space above the atmosphere and plane wave propagation . Properties of the atmosphere are ε= 1.05 ε0 , µ = µ0 and s= 10-6 S/m . calculate :
a) the phase velocity in air and in free space .
b) The attenuation and phase constant in air and in free space .
c) the propagation constant in air . compare with the propagation constant in free space
d) compare the intrinsic inpedance in free space and in air .
2) the Electric field intensity of a plane electromagnetic wave is given as E(z) = 8 cos (106 π t ) ix at point ( x=0 , y=0 , z=0 ) . the magnetic field intensity is the positive y direction and the wave propagates in a material with properties ε= ε0 , µ = µ0 and σ= 1.5 x 10-5 S/m .
a) calculate the magnetic field intensity at a distane of 1 Km from point P in the direction of propagation
b) how much faster does the wave propagates if σ=0 ?