The velocity factor (VF), also called wave propagation speed or velocity of propagation (VoP or ), of a transmission medium is the ratio of the speed at which a wavefront (of an electromagnetic signal, a radio signal, a light pulse in an optical fibre or a change of the electrical voltage on a copper wire) passes through the medium, to the speed of light in a vacuum. For optical signals, the velocity factor is the reciprocal of the refractive index.
The speed of radio signals in a vacuum, for example, is the speed of light, and so the velocity factor of a radio wave in a vacuum is unity, or 100%. In electrical cables, the velocity factor mainly depends on the insulating material (see table below).
The use of the terms velocity of propagation and wave propagation speed to mean a ratio of speeds is confined to the computer networking and cable industries. In a general science and engineering context, these terms would be understood to mean a true speed or velocity in units of distance per time, while velocity factor is used for the ratio.
Typical velocity factorsEdit
Velocity factor is an important characteristic of communication media such as category 5 cables and radio transmission lines. Plenum data cable typically has a VF between 0.42 and 0.72 (42% to 72% of the speed of light in a vacuum) and riser cable around 0.70. A VF of 0.70 corresponds to a speed of approximately 210,000,000 m/s or 4.76 ns per metre.
|VF (%)||Cable||Ethernet physical layer|
|74–79||Cat-7 twisted pair|
|77||RG-8/U||Minimum for 10BASE5|
|67||Optical fiber||Minimum for 10BASE-FL, 100BASE-FX, ...|
|65||RG-58A/U||Minimum for 10BASE2|
|65||Cat-6A twisted pair||10GBASE-T|
|64||Cat-5e twisted pair||100BASE-TX, 1000BASE-T|
|58.5||Cat-3 twisted pair||Minimum for 10BASE-T|
|VF (%)||Transmission line|
|95–99||Open-wire "Ladder" Line|
|93||HJ8-50B 3 inch Heliax coaxial cable (air dielectric)|
|86||RG-8 Belden 7810A coaxial cable (gas-injected foam high-density polyethylene)|
|83||RG-6 Belden 1189A coaxial cable, RG-11 Belden 1523A coaxial cable|
|82||RG-8X Belden 9258 coaxial cable (foamed polyethylene dielectric)|
|80||Belden 9085 twin-lead|
|77||RG-8/U generic (foamed polyethylene)|
|66||Belden 8723 twin shielded twisted pair stranded (polypropylene insulator)|
|66||RG-213 CXP213 (solid polyethylene dielectric)|
Calculating velocity factorEdit
in the usual case where the relative permeability, , is 1. In the most general case:
which includes unusual magnetic conducting materials, such as ferrite.
The velocity factor for a lossless transmission line is given by:
- Gottlieb, I.M., Practical RF power design techniques, TAB Books, 1993, ISBN 0-8306-4129-7, p.251 ('velocity factor')
- Velocity of Propagation, General Cable Australia Pty Ltd, retrieved 2010-02-13
- "velocity of propagation" in Walker, P.M.B., Chambers Science and Technology Dictionary, Edinburgh, 1991, ISBN 1-85296-150-3
- IEEE 802.3 Clause 220.127.116.11
- IEEE 802.3 Clause 18.104.22.168
- IEEE 802.3 Clause 10.5.1.3
- IEEE 802.3 Clause 22.214.171.124
- H. Ward Silver, N0AX, ed. (2011). "Chapter 22: Component Data and References". The ARRL Handbook For Radio Communications (88th ed.). ARRL. p. 22.48. ISBN 978-0-87259-096-0.
- Kaiser, Kenneth L. (2005). Transmission Lines, Matching, and Crosstalk. CRC Press. pp. 2–24. ISBN 9780849363627.
- "8723 Multi-Conductor - Shielded Twisted Pair Cable" (PDF). Belden.com. Retrieved 2017-07-06.