The input impedance of a 31cm long lossless transmission line of unknown characteristic impedance was measured at 1 MHz. With the line terminated in a short circuit, the measurement yielded an input impedance equivalent to an inductor with inductance of .064 microH, and when the line was open-circuited, the measurement yielded an input impedance equivalent to a capacitor with capacitance of 40pF. Find Z0 of the line, the phase velocity, and the relative permittivity of the insulating material.