Use Smith Chart: A lossless 1 cm long transmission line has characteristic capacitance and inductance of 1nF/m and 2.5 H/m, respectively. The line is terminated with a load impedance of 75+j50 ohms. The line is operated with a source voltage and impedance of 1 angle 0 degrees V and 50 ohms, respectively, and frequency of 1GHz. Answer the following questions:

(a) Find the load reflection coefficient () and standing wave ratio (S).

(b) Distance to first maxima (dmax) in terms of wavelength.

(c) Find the input impedance (Zin).

(d) Find the input impedance (Zin) if the length of the line is changed to 0.5cm.