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# Characteristics of Transmission Lines

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Distance and Voltage. See attached file for full problem description.

1. Given that r = alpha + j*beta
show that alpha and beta are given by

2. A transmission line operating at 500 Mrad/s has l = 0.5 uH/m, c = 30.8 pf/m, g = 10^-4 omg-1/m, and r = 25 omg/m.
a) calculate values for r, alpha, beta, v, lamda, and z0.
b) what distance down the line can a voltage signal travel before it is reduced to 10% of its original amplitude.
c) What distance must it travel to undergo a 90 degrees phase shift?

https://brainmass.com/engineering/electrical-engineering/characteristics-transmission-lines-133135

#### Solution Summary

It investigates the characteristics of transmission line. It also explains how the voltage signal travels down the line. The solution is detailed and has a rating of '5/5'.

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## Transmission Lines, Electromagnetic radiation and propagation

1- Find the characteristic impedance for a coaxial cable with an inductance of 64 nH/ft and a capacitance of 43 pF/ft.

2- A coaxial cable has an inner diameter of its outer conductor of 0.5 in. The outer diameter of its inner conductor is 0.1 in. The cable is filled with Teflon. Find the characteristic impedance.

3- A coaxial cable has a capacitance of 33 pF/ft and an inductance of 78 nH/ft. What is the delay introduced by 1 ft of cable?

4- The relative dielectric constant of a cable is Epsilon_r = 2.5. What is the velocity of an electromagnetic wave traveling through the cable, in meters per second?

5- For a given transmission line, the characteristic impedance is 40 Ohm and the load impedance is 65 Ohm. What is the reflection coefficient?

6- A radio transmitter is 1200 ft high and a receiving antenna is 30 ft high. What is the radio horizon?

7- Find the elevation angle for a ground station antenna given a satellite of longitude 80 degrees west, site longitude of 90 degrees west, and site latitude of 32 degrees north.

8- What is the wavelength and free space path loss for an earth station uplink to a satellite if the distance is 37 X 10^6 meters and the uplink frequency is 13.6 GHz?

9- Consider a satellite orbit and define perigee and apogee.

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