A sinusoidal voltage wave on a lossy transmission line is expressed in phasor form as Vs(z) = Vo*e^-(alpha*z)*e^-(j*beta*z) where Vo is complex and is given by Vo = |Vo|*e^(j*phi), where phi is a constant phase.
a) Express the given voltage in real instantaneous form.
b) Since the line is lossy , the characteristic impedance will be complex, and will be of the form Zo = |Zo|*e^(j*sigma), where sigma is a constant phase. Find the current phasor, Is(z) and convert this to real instantaneous form.
c)Find, in terms of |Vo|, |Z0|, phi, sigma, and alpha, the time average power in the wave, Po, as a function of position z.