12.5.More slotted-line measurements. (a) Find the operating frequency of an air-filled slotted line, whose characteristic impedance is Zo = 60 2 and losses in conductors are negligible, and the complex impedance of an unknown load terminating the line if measurements on it give a standing wave ratio of s= 2 and the location of the first voltage minimum at /min = 40 cm from the load, which is also Al = 80 cm to the next minimum. (b) Repeat (a) but for a load that results in the same for the first two voltage maxima, instead of minima, so in Imax = 40 cm and A/= 80 cm.

. A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation       50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is provided

In a three-phase transmission line with a length of 150 km, a voltage of 250 kV and a frequency of 50 Hz, the diameter of the steel-cored aluminum conductors is 18 mm, the roughness coefficient of the conductors is 0.6, and the spacing between the conductors is 6 m. Since the average air temperature is 27˚ C and the air pressure is 762 mmHg along the line, find the corona voltage around the conductor and the total loss of the line according to the Peek formula.

A signal generator having an internal resistance 1 Ω and an open-circuit voltage vg(t) = 0.3 cos 2π 108 t (v) is connected to a 50 Ω lossy transmission line. The line is 4 (m) long, and the velocity of wave propagation on the line is 2.5 x 108 (m/s) with attenuation constant of 0.01 (dB/m). For a matched load, find: (a) The propagation constant on the line. (b) the instantaneous expressions for the voltage and current at an arbitrary location on the line, (c) the instantaneous expressions for the voltage and current at the load, and (d) the average power transmitted to the load.