The formula
A half-wave dipole is a little shorter than half a wavelength in free space. The difference is the end effect, written as a factor K:
L = K × c / 2f
c is the speed of light, 299.792458 m per microsecond, and f is the frequency in MHz, so L comes out in metres. The old rule 468 / f in feet is the same formula with K = 0.9516. For thin bare wire high in the clear, K is usually between 0.95 and 0.97. Insulated wire, thick wire and low wires come out shorter.
| Band | Frequency | K 0.95 | 468 / f | 468 / f, other unit |
|---|---|---|---|---|
| 160 m | 1.9 MHz | 245′ 10 ¹¹⁄₁₆″ | 246′ 3 ¹³⁄₁₆″ | 75.08 m |
| 80 m | 3.65 MHz | 128′ 0″ | 128′ 2 ⅝″ | 39.08 m |
| 60 m | 5.36 MHz | 87′ 1 ¹⁵⁄₁₆″ | 87′ 3 ¾″ | 26.61 m |
| 40 m | 7.1 MHz | 65′ 9 ⅝″ | 65′ 11″ | 20.09 m |
| 30 m | 10.125 MHz | 46′ 1 ¹¹⁄₁₆″ | 46′ 2 ¹¹⁄₁₆″ | 14.09 m |
| 20 m | 14.175 MHz | 32′ 11 ½″ | 33′ 0 ³⁄₁₆″ | 10.06 m |
| 17 m | 18.118 MHz | 25′ 9 ⁷⁄₁₆″ | 25′ 9 ¹⁵⁄₁₆″ | 7.87 m |
| 15 m | 21.225 MHz | 22′ 0 ⅛″ | 22′ 0 ⁹⁄₁₆″ | 6.72 m |
| 12 m | 24.94 MHz | 18′ 8 ¹³⁄₁₆″ | 18′ 9 ³⁄₁₆″ | 5.72 m |
| 10 m | 28.5 MHz | 16′ 4 ¹¹⁄₁₆″ | 16′ 5 ¹⁄₁₆″ | 5.01 m |
| 6 m | 50.15 MHz | 9′ 3 ¹³⁄₁₆″ | 9′ 4″ | 2.84 m |
Trimming from what your analyzer reads
Cut the wire a little long, hang it where it will live, and find the frequency with the lowest SWR. Resonance moves in inverse proportion to length, so the length that hits your target is:
L new = L × f measured / f target
On a centre-fed dipole half of the change comes off each leg. Small changes are accurate in one step. For a change of more than about 10 %, cut half, measure again and finish from the new reading.
| Step | Value |
|---|---|
| Cut for 7.100 MHz with K 0.95 | 65′ 9 ⅝″ · 20.06 m |
| Analyzer shows the lowest SWR at | 6.95 MHz |
| Target | 7.1 MHz |
| Whole wire after the cut | 64′ 4 ¹⁵⁄₁₆″ · 19.63 m |
| Cut from each leg | 8 ⁵⁄₁₆″ · 21.2 cm |
| This wire's own K | 0.9299 |
Your wire has its own K
The first measurement also tells you the K of this wire, in this place: K = L / (λ / 2) at the frequency it resonates. Height, insulation, the ground and nearby metal all go into it. Use that K for the next band, a fan dipole leg or a link dipole section, and the first cut lands much closer.
The app keeps every measurement. From two or more cuts it also learns a fixed offset for the feed region and the balun leads, which removes the slow "cut, measure, still long" approach.
Inverted-V and other shapes
An inverted-V starts from the same length. Drooping legs lower the resonance by a few percent, and how much depends on the apex angle, the height and the ground, so no fixed factor is honest. Start from the flat length and trim. The app covers inverted-V, end-fed half-wave, off-centre-fed, verticals with radials, J-poles, loops and more, each with trim from measurement.
Sources
- ARRL Antenna Book: dipole 468/f ft; transmission lines, total loss with SWR
- NIST SP 811, Appendix B.9: foot, inch
Calculations are aids; go by the rules in force and your own measurement.
Checked against the sources on November 2, 2026.