A lossy transmission line has non-zero L,G and C, however, the resistance per unit length, R=0.

When a time-harmonic generator and load are both matched to the line, it is observed that the voltage has an amplitude that decreases by 25% every meter and leads the current by 30°.

a) Calculate the attenuation coefficient, α, in units of both nepers/m and dB/m.
b) Calculate the phase coefficient, β. Show all steps in deriving your equations.