b) A low-loss, 500 coaxial cable is 3.5km long and has a solid dielectric spacer of relative permittivity 2.05. Its near end is connected to a matched 325V, 50Hz mains voltage source and its far end is terminated with a 1200 load. (i) Calculate the total inductance, total capacitance and signal transit time of the coaxial cable. (ii) Calculate the rms forward power, rms reflected power and the rms power delivered to the 1200 load. c) A service engineer attempts to measure line power by connecting a power probe across the cable's conductors at a position 1.1km from the source, which effectively introduces a sudden 500 shunt impedance at this position. (i) Calculate the rms probe power immediately after it is connected.

In power distribution systems, what is sometimes necessary to install to reduce harmonic frequencies and distortion between the three-phase transformers and distribution panels?