Q1) An x - polarized, 0.3 GHz uniform plane wave propagating along the z\ direction has electric field component at z = 0 is given by
\bar{E}(0,t) = \hat{x}[10 cos(\omega t)] V/m,
The characteristic properties of the medium are \epsilon_r = 4, \mu_r = 1 and \sigma = 8 S/m.
a) (4 pts.) State whether the medium is a good conductor or a low loss medium.
b) (12 pts.) Determine the propagation constant (\gamma), attenuation constant (\alpha), phase constant (\beta), intrinsic impedance (\eta), wavelength (\lambda) and the skin depth (\delta).
c) (10 pts.) Find the distance at which the amplitude of \bar{E} is 10% of its value at z = 0.
d) (10) Write the instantaneous expressions for \bar{E}(z, t) and \bar{H}(z,t).