About Velocity Factor
One of the problems in describing a particular concept is that scientists, engineers, and hobbyists (that’s us ham folks) all talk using different terms.
The term velocity factor is one such term. Us hams think of it as how our signals slow down in various wires and cables. It’s a practical concept that we need to consider at times… such as when tuning an antenna for use at specific frequencies.
For example, after last night’s McARCS meeting, Steve, KJ6EIF was pointing out how much he had to trim the length of his bicycle’s 2M antenna to account for the shrink wrap insulation that held the copper wire against its fiberglass pole. The difference in length was significant!
By comparison, engineers think of this same concept in different terms. They think of the dielectric constant of specific insulating materials through which electromagnetic fields pass. This is of critical importance in the insulators used in capacitors and coaxial cable.
Finally, scientists and physicists think of it as the refractive index, which is based on the permittivity and permeability of specific materials. This is related to how EM (electromagnetic) waves move in various materials. It’s why light travels slower in air than a vacuum, and why it travels even slower in water or glass.
So, all of these boil down to the fact that EM waves travel different speeds in different materials. Based on various tables, I’ve calculated some of the speeds in millions of meters per sec, plus or minus:
- 299.8 in a vacuum (maximum speed)
- 299.7 in air
- 288 in bare copper wire
- 285 in ladder line (lead-in cable)
- 237 in good quality coax
- 230 in water
- 200 in ordinary glass
- 198 in cheap coax
- 125 in diamond
I should point out that all these numbers are rough… and depend on many other variables… the specifics of the material, temperature, frequency, etc.
I should also note that we’re talking about the speed of waves here, not the speed of electrons. While EM waves move extremely fast, the electrons on average move very slow. A good way to understand this difference is to consider your garden hose. If it’s full of water, and you crack open the spigot just a bit, the flow is very slow. But, because the hose is already full of water, you’ll see water flow out the end of the hose immediately.
So, the velocity factor is the ratio of the speed of waves in a material compared to the maximum speed, that of a vacuum. Taking the above numbers for good coax, divide 237 by 299.8, and you’ll get 0.79. That is, the wave in good coax will move 79% of the speed it does in a vacuum. And, that’s why you need to account for this difference in your various antenna designs.
Finally, “the why” of how this happens is a complex topic, and in fact I think it’s very poorly explained in most references that I’ve come across. For us hams, we can use the widely published numbers, and get quite close to the results we need.