The Voltage and current in an electrical transmission line are governed by the telegraph equation: 01 Ot . da Ot where L is the inductance and C the capacitance of the line. 81 a) Using the method of Fourier transformation for an infinite domain in x, consider the solutions of the temporal type V(x, t) = Re{V(x). eiwt} I(x, t) Re{1(a). e} and derive the relationship between w and the Fourier variable k. b) Derive the relationship between w and the Fourier variable k given now an initial condition such that V(x, t0) = cos(x) and I(x, t0) = sin(x).