Question

A radio transmitter is connected to an antenna having an impedance 80 + j40 ohm with a 50 ohmcoaxial cable having a length of 2.0 m. The impedance of the

transmitter is 50 ohm . The phase velocity of the signal propagation in the coaxial cable is 2.0*10⁸ m/s, and the frequency of the sinusoidal signal is 800 MHz.

Find the following quantities:

a) The propagation constant of the signal in the cable.

b) The reflection coefficient at the antenna.

c) The impedance seen by the transmitter at the input of the cable.

d) The ratio of the maximum voltage to the minimum voltage in the cable.

e) The impedance where the voltage in the cable becomes maximum.

f) If the 50 ? transmitter can deliver 250 mW when connected to a 50 ohm load, how much power is delivered to the antenna?

Answer 1