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EFHW Wire Length & Harmonic Bands

Same starting formula as a dipole (468/f) — the difference is in the feed, not the length.
Wire Length
Length (Metric)
Cut Length (+4%)
Suggested Counterpoise
Harmonic Band Coverage (No Tuner)
Wire length uses 468 ÷ frequency (MHz), same as a center-fed dipole. Harmonic coverage shows which standard amateur bands your exact cut frequency's harmonics land inside — this shifts meaningfully depending on where in the band you cut, which is explained in detail below.

📐 How EFHW Length & Matching Work

An end-fed half-wave is, electrically, the exact same wire as a center-fed dipole cut for the same frequency — 468 ÷ frequency (MHz) gives the same total length either way. What changes is where you connect the feedline. Feeding at the center gives a moderate, easy-to-match impedance (around 70Ω in free space). Feeding at the very end of the same wire lands you at the opposite extreme: a high-impedance point, empirically measured anywhere from roughly 1800 to 5000 ohms depending on height, ground, and counterpoise — far too high to connect directly to 50-ohm coax with any kind of efficiency.

That's the entire reason EFHW antennas need a special impedance-transforming "unun" (unbalanced-to-unbalanced transformer) instead of a simple 1:1 balun. The length math is identical to a dipole; the feed hardware is what's genuinely different.

468/f
Wire length (ft) — same as dipole
~70Ω
Center-fed impedance
1800–5000Ω
End-fed impedance (measured range)
49:1
Common unun ratio
Worked example — 40m EFHW at 7.15 MHz:
Wire length: 468 ÷ 7.15 = 65.45 ft (≈ 65 ft 5.4 in)
Recommended cut length (+4% margin): ≈ 68.1 ft, trimmed down from there
Suggested counterpoise: 0.05 × 40m wavelength ≈ 6.5 ft (≈ 2 m)
Feedpoint impedance: typically in the 1800–5000Ω range, matched down with a 49:1 unun

📡 Which Bands You Actually Get Without a Tuner

This is the part most EFHW marketing oversimplifies, and it's worth getting right before you buy or build one. A 40m EFHW is genuinely a multiband antenna — but exactly which harmonic bands it covers without a tuner depends on precisely where in the 40m band you cut it.

The 4th harmonic (10m) is the most dependable — it stays inside the 10m band across the entire legal 40m range. The other two are more cut-frequency-sensitive than most calculators let on. The 2nd harmonic (20m) stays inside the 20m band only up to about 7.175 MHz — cut above that (which is still well within the legal 40m band, which runs to 7.3 MHz), and the 2nd harmonic drifts above the 20m band edge. The 3rd harmonic (15m) is even tighter: cut near the bottom of 40m (around 7.0–7.15 MHz), the 3rd harmonic lands at roughly 21.0–21.45 MHz — inside the 15m band. Cut closer to the top of 40m (toward 7.3 MHz), that same 3rd harmonic shifts up to around 21.9 MHz, well above the 15m band edge and out of range without a tuner. The WARC bands — 30m, 17m, and 12m — simply aren't harmonically related to a 40m half-wave at all, regardless of cut frequency, and always need a tuner on a standard 40m EFHW.

HarmonicFrequency (cut at 7.15 MHz)Band?Notes
1st (fundamental)7.15 MHz40m ✅Always in-band, this is what you cut for
2nd14.30 MHz20m — mostly reliableIn-band if cut at or below ~7.175 MHz; drifts out above that
3rd21.45 MHz15m — edge caseIn-band only if cut near 7.0–7.15 MHz
4th28.60 MHz10m ✅Reliable across the entire 40m range

A full-size 80m EFHW (cut around 3.5–3.6 MHz) extends this same pattern one band lower, commonly reaching 80/40/20/15/10m — but the same cut-frequency sensitivity applies: cutting toward the higher end of 80m can push the 4th and 6th harmonics (20m and 15m) out of their bands, leaving only 80/40/10m reliably covered.

⚠️
Most "Covers 5 Bands, No Tuner" Claims Need a Caveat
Commercial EFHW listings often advertise full harmonic band coverage without mentioning that 20m and 15m coverage both depend on the exact cut frequency holding up after trimming for your specific install — only the 10m harmonic is reliable across the whole 40m band. If 20m and 15m both matter to you, cut and trim deliberately toward the low end of the 40m band rather than the center or high end.

🔌 The 49:1 Unun, Explained Correctly

Impedance transformation through a toroidal transformer scales with the square of the turns ratio, not the turns ratio itself — a detail that trips up a surprising number of online explanations. A 7:1 turns ratio gives a 7² = 49:1 impedance ratio, which steps 50Ω coax up to 2450Ω (50 × 49) — right in the middle of the typical 1800–5000Ω measured EFHW feedpoint range. That's why 49:1 (built from 7 turns) is the standard, not an arbitrary marketing number.

Some commercial and homebrew units use a 64:1 ratio instead, built from an 8:1 turns ratio (8² = 64, targeting 3200Ω). Neither ratio is universally "more correct" — they're both reasonable points inside the same wide real-world impedance range, and which one performs better on your specific installation comes down to your actual measured feedpoint impedance, not a spec sheet number.

Turns RatioImpedance RatioTarget Impedance (from 50Ω)
6:136:11800Ω
7:149:12450Ω (most common)
8:164:13200Ω
9:181:14050Ω

A small 100–150 pF capacitor is sometimes added across the unun's high-impedance terminals. It resonates with the transformer's own leakage inductance at higher frequencies, which can improve the match specifically on 15m and 10m — many working EFHW builds skip it entirely and only add it if SWR on those bands is marginal.

⚡ Counterpoise: The Part Most Builders Skip

Every antenna needs a return path for RF current — even a single-wire EFHW. "No counterpoise needed" is one of the most common pieces of misinformation repeated about EFHW antennas. What's actually true is that the counterpoise can be very short compared to other antenna types, and it's easy to overlook because the coax shield will silently take over that job if you don't provide one deliberately.

The standard sizing rule of thumb: counterpoise length ≈ 0.05 × the longest wavelength you plan to operate on. For an EFHW covering down to 40m, that works out to roughly 2 meters (about 6.5 feet). If your antenna also covers 80m, size it for 80m instead — about 4 meters (around 13 feet). This counterpoise can be a dedicated wire connected to the unun's ground terminal, run away from the main antenna wire, or — if you don't add one — the coax shield itself will serve the same role by default.

~2 m
Counterpoise for 40m coverage
~4 m
Counterpoise for 80m coverage
0.05λ
The sizing rule (longest band)

🛡️ Common Mode Choke Placement

Because an EFHW depends on a counterpoise rather than a balanced feed, RF current on the outside of the coax shield is a real and common issue — more so than with a center-fed dipole. A common mode choke (several turns of the coax through a ferrite toroid) suppresses that current before it reaches your shack.

Placement matters: don't put the choke directly at the feedpoint if you're relying on the coax shield as your counterpoise — choking the shield right there removes the counterpoise the antenna needs to work against, which can hurt your SWR rather than help it. The common practical approach is a short run of coax (several feet, often matched to the 0.05λ counterpoise length) between the unun and the choke, letting that section of coax serve as the counterpoise while the choke isolates everything beyond it from carrying RF back to the radio. If you've added a separate dedicated counterpoise wire instead, the choke can sit much closer to the feedpoint without that conflict.

⚖️ EFHW vs. Center-Fed Dipole

FeatureEFHWCenter-Fed Dipole
Supports needed1 (far end can be low)2 (or 1 for inverted-V)
Feed impedance~1800–5000Ω (needs unun)~70Ω (needs simple balun)
Return pathNeeds a counterpoiseSelf-balanced, no counterpoise needed
Common-mode riskHigher — depends on counterpoise qualityLower — inherently more balanced
Multiband behaviorHarmonic bands, cut-frequency-sensitiveBest on fundamental + odd harmonics
Best forPortable/POTA, single-support installsFixed stations with two supports, cleanest RF

On the bands where the harmonics line up, an EFHW performs essentially the same as a dipole of the same length and height — the radiating wire is electrically identical either way. The real tradeoff is installation convenience versus feed cleanliness: one support and one transformer (EFHW) versus a self-balanced feed that doesn't depend on getting a counterpoise right (dipole).

❌ Common Mistakes

Assuming "no counterpoise needed": Every EFHW has one, whether you add it deliberately or let the coax shield do it by default.

Choking the feedpoint when using the coax as counterpoise: This removes the antenna's return path right where it needs it most — keep the choke a deliberate distance away in that setup.

Cutting in the middle of the band and expecting full harmonic coverage: If 15m matters to you on a 40m EFHW, cut and trim toward the low end of 40m, not the center.

Treating the WARC bands as covered: 30m, 17m, and 12m are not harmonically related to a 40m or 80m half-wave at all — plan on a tuner for those regardless of cut frequency.

Skipping the choke at higher power: RF-in-the-shack symptoms get more noticeable as power increases; QRP setups often get away without a choke where 100W setups won't.

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❓ Frequently Asked Questions

What is the formula for an EFHW antenna length?
An end-fed half-wave uses the same starting formula as a center-fed dipole: 468 divided by the frequency in MHz, giving total length in feet. The difference is in how it's fed, not how it's sized — a 40m EFHW (around 7.15 MHz) comes out to roughly 65.4 feet, the same length a 40m dipole would use, just fed at one end instead of the center.
Why does an EFHW need a 49:1 unun instead of a regular balun?
Feeding a half-wave wire at its end presents a very high impedance, typically measured somewhere between about 1800 and 5000 ohms depending on height, ground, and counterpoise. A standard 50-ohm coax feedline needs that brought down close to 50 ohms to transfer power efficiently. A 49:1 impedance transformer, built with a 7:1 turns ratio (7 squared equals 49), steps roughly 2450 ohms down to 50 ohms, landing near the middle of the typical real-world impedance range. Some builders use a 64:1 ratio (8:1 turns) instead, which targets a higher impedance and isn't inherently better, just a different point in the same range.
Does a 40m EFHW really work on 20m, 17m, 15m, 12m, and 10m without a tuner?
Not on all of those. A 40m EFHW reliably reaches 10m (4th harmonic) across the entire 40m band. Reaching 20m (2nd harmonic) without a tuner holds up only when cut at or below about 7.175 MHz — cutting higher (which is still within the legal 40m band) can push that harmonic out of the 20m band edge. Reaching 15m (3rd harmonic) is even more cut-sensitive: cutting near the bottom of the band (around 7.0 to 7.15 MHz) puts the 3rd harmonic inside 15m, while cutting higher (closer to 7.3 MHz) pushes it out of range. The WARC bands, 30m, 17m, and 12m, are not harmonically related to a 40m half-wave at all and will need a tuner regardless of cut frequency.
Does an EFHW need a counterpoise?
Yes — every antenna needs some kind of return path, and an EFHW is no exception, even though it's a single wire. The common rule of thumb is a counterpoise length of about 0.05 times the longest wavelength you plan to operate on; for an EFHW covering down to 40m, that's roughly 2 meters (about 6.5 feet), or about 4 meters (around 13 feet) if the antenna also covers 80m. If you don't add a dedicated counterpoise wire, the outer shield of your coax will act as the counterpoise by default, which can work but raises the chance of RF currents reaching your shack.
Do I need a common mode choke with an EFHW?
It's recommended, especially above QRP power levels. Because an EFHW is fed at a high-impedance end through an unbalanced transformer, there's a real tendency for RF current to flow back down the outside of the coax shield toward the radio. A common mode choke placed a short distance from the matching transformer (commonly cited as at least several feet away, not right at the feedpoint) suppresses that current and keeps it from reaching the shack, without interfering with the antenna's own counterpoise.
Is an EFHW better than a center-fed dipole?
Neither is strictly better; they trade different things. On the bands where an EFHW's harmonics fall cleanly in-band, it performs essentially the same as a dipole of the same length at the same height, since the radiating wire itself is identical. The EFHW's real advantage is installation convenience: one support instead of two, and one matching transformer instead of needing separate feed arrangements per band. The dipole's advantage is a cleaner, naturally balanced feed that's inherently less prone to common-mode current and feedline radiation issues, since it doesn't depend on a counterpoise the way an EFHW does.
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