Lossy Transmission Lines

 

1. Examine different commonly-available coaxial cables:

 

Data:

 

 

RG58

RG142

RG405

Inner Conductor Radius

0.89mm

0.94mm

0.51mm

Outer Conductor Radius

3.53mm

4.11mm

2.15mm

Dielectric

PE

PTFE

PTFE

 

Dielectric Properties

 

 

er

Loss tangent at 3 GHz

PE (Polyethylene)

2.26

0.00031

PTFE (Teflon)

2.1

0.00015

 

Assume the conductors are made of copper.

 

  1. Find the characteristic impedance and R,L,G,C values of each cable (write a matlab program or program your calculator), the wavelength, and the velocity of propagation.
  2. Find the attenuation constant of each cable. If you have a 6' length of cable, approximately which frequency can each cable be used without losing more than 10% of the magnitude of the voltage signal through the cable?
  3. How important is the type of metal used for the conductor? (This is a qualitative question … you may try other types of metals, to give relative performance, or adjust the values of Rs to show change in effect.)

 

2. Describe how to analyze a lossy transmission line using the Smith Chart.