Saturday, 21 June 2014

Velocity Factor



            Electrical signals travel very fast but their speed is not infinite. Just how fast depends on the characteristics of the conductor. Transmission lines can be considered to be very uniform conductors; the capacitance and inductance per unit of length is constant over the whole length of the line. Each infinitesimally small series inductance must have its related magnetic field developed and each small parallel capacitor must be charged. All of this takes time and so a signal in a transmission line is delayed compared to the time a radio signal in free space would take to travel the same distance. This delay, the ratio of the speed of transmission of the signal to the speed of light, is called the velocity factor.

           The velocity factor is a physical characteristic of the line and depends primarily on the dielectric used to construct the line. For parallel conductor lines using air dielectric the velocity factor is about 0.98; for polyethylene coaxial cable it is about 0.66. Foam dielectric coaxial cables have air bubbles in the polyethylene and have velocity factors from about 0.70 to 0.85.
Velocity factors are always provided in cable catalogues and also can be determined from most standard reference manuals such as Bill Orr's The Radio Handbook. If you know the dielectric constant for the material separating the two conductors in a transmission line the velocity factor can be calculated using the following relationship:

                                                      1
            Velocity Factor = ----------------------------
                                         √ (Dielectric Constant)

This says that the Velocity Factor for a particular transmission line is equal to the reciprocal of the square root of the dielectric constant of the material between the two conductors.

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