The incident voltage wave on a certain lossless transmission line.

The incident voltage wave on a certain lossless transmission line for which \(Z_0\:=\:50\:Ω\) and \(v_p\:=\:2\:×\:108\:m/s \) is \(V^+\left(z,\:t\right)\:=\:200cos\left(ωt\:-\:\pi z\right)\:V\).

(a) Find \(\omega \)
(b) Find \(I^+\:\left(z,\:t\right)\) The section of line for which \(z\:>\:0\) is replaced by a load \(ZL\:=\:50\:+\:j30\omega \) at \(z\:=\:0 \)
(c) Find \(ΓL\)
(d) \(V_S^-\:\left(z\right)\)
(e) \(V_S\:at\:z\:=-\:2.2\:m\)