Feed line loss and velocity factor
Attenuation by frequency and electrical length.
Attenuation by frequency and electrical length.
No feed line delivers all the power you put in. Some is turned into heat in the conductors and the insulation; that is loss (attenuation). Separately, a wave travels slower in a cable than in air; that ratio is the velocity factor. One tells you how much power arrives, the other how long to cut things.
Loss is quoted in dB per 100 feet, so total loss = rate × length ÷ 100. Because dB add, you can add the loss of a cable, a connector and a switch. Convert back with power left = 10^(−dB ÷ 10): 1 dB leaves about 79%, 3 dB leaves half, 10 dB leaves one tenth.
Loss grows with frequency, roughly with its square root at HF and VHF and a little faster above that, as the insulation starts to absorb too. So a run that wastes almost nothing on 80 m can lose half your power on 70 cm. Fatter cable, foam or air insulation, and solid shields all reduce loss.
Receive loss counts too. A dB lost on the way in is signal that never reaches the radio, and at VHF and above, where outside noise is low, it directly worsens signal-to-noise ratio. This is why VHF and UHF stations use short runs of low-loss cable, and why a few dB of loss matters far more at 70 cm than at 40 m.
Loss also changes how SWR looks. If the antenna is mismatched, reflected power travels back along the line and is attenuated again, so the SWR at the radio reads better than at the antenna. A low reading at the radio can hide a bad antenna and a lossy cable. See SWR and reflections.
Waves in a cable slow down because of the insulation. The fraction of free-space speed is the velocity factor (VF), and it shortens the wavelength inside the cable by the same fraction. Physical length of a given electrical length = free-space length × VF.
| Line | Typical VF |
|---|---|
| Solid-plastic coax | about 0.66 |
| Foam coax | about 0.8 |
| Twin-lead | about 0.8 |
| Window line | about 0.9 |
| Open-wire line | 0.95 or higher |
A quarter wavelength of 0.66 coax at 14.2 MHz is 246 × 0.66 ÷ 14.2 ≈ 11.4 feet (3.5 m), against 17.3 feet in free space. Use the VF printed in the datasheet, and measure the finished piece with an antenna analyzer, because real cable varies. Cable lengths matter for stubs and matching sections and for phasing lines.