Antenna Length Calculator
Calculate antenna lengths from frequency: quarter-wave, half-wave, 5/8-wave, and full-wavelength. Supports shortening factor for insulated wire and common band presets.
How to Use
- Enter the frequency in Hz, kHz, MHz, or GHz.
- Set the velocity factor (1.0 = bare wire; 0.95 = typical insulated wire).
- See the wavelength and common antenna lengths.
- Quarter-wave is the most common monopole; half-wave is the standard dipole.
Show Work
Formulas
History of Antenna Resonance
Heinrich Hertz demonstrated the first practical antenna in 1887 — a pair of metal spheres separated by a spark gap — while verifying Maxwell\'s 1865 prediction of electromagnetic radiation. Hertz\'s dipole antennas operated at the self-resonant frequency determined by their physical length, giving engineers the first experimental confirmation that wavelength and antenna size are directly linked by λ = c/f.
Guglielmo Marconi refined dipole and vertical antennas through the 1890s for commercial wireless telegraphy, culminating in his 1901 transatlantic transmission from Cornwall to Newfoundland. By the 1920s, radio amateurs had established the standard rule of thumb that this calculator uses: a quarter-wavelength monopole on a ground plane presents near 50Ω at resonance, making it the easiest match for typical RF transmitter output stages.
The velocity-factor concept (physical length slightly shorter than free-space wavelength due to end-effect capacitance and wire insulation) dates to the 1930s antenna research at RCA and Western Electric. John Kraus\'s 1950 textbook Antennas formalized the length corrections — typically multiplying by ~0.95 for insulated wire and ~0.98 for bare copper — and the same factors remain standard in ARRL and ITU antenna handbooks today.
About This Calculator
Enter a frequency (Hz, kHz, MHz, or GHz) and velocity factor (0.95 for typical insulated wire, 0.98 for bare copper). The tool returns the full wavelength plus the three most common antenna lengths: quarter-wave (monopole on ground plane), half-wave (dipole), and 5/8-wave (enhanced low-angle gain vertical).
For most practical work, cut the wire 5–10% long, check SWR with an analyzer, and trim in small steps until resonance lands in your target band. Antennas near metal, buildings, or ground plane edges may need longer cuts (lower effective k). Everything runs client-side; no values leave your browser.
Frequently Asked Questions
Why are antennas a specific length?
Antennas resonate at wavelengths matching their physical dimensions. A quarter-wave antenna is electrically matched to a 50Ω source at resonance, radiating efficiently. Off-resonance lengths either reflect signal back or radiate poorly.
What is velocity factor?
Signals travel slightly slower through real antenna materials than through vacuum (speed of light). Velocity factor (k) is typically 0.95 for insulated wire, 0.98 for bare wire. Divide the calculated length by 1/k (~1.02-1.05) for the physical length.
Quarter-wave vs. half-wave?
Quarter-wave monopole (vertical on a ground plane) is compact, omnidirectional, needs a ground/counterpoise. Half-wave dipole has the same gain as two quarter-waves, no ground needed, 2× the physical length.
What's a 5/8-wave antenna?
A 5/8-wave vertical has slightly more gain at low angles than a quarter-wave — often chosen for mobile VHF/UHF applications where communication is along the horizon. Requires an impedance-matching network.
Can I go smaller than 1/4 wave?
Yes, but with losses. Loaded antennas (with a loading coil) let you shrink physical length, trading efficiency for compactness. Mobile HF antennas use this heavily — they'd be impractically long otherwise.
Common Use Cases
2.4 GHz Wi-Fi Antenna
1/4-wave = 31.2mm; 1/2-wave = 62.5mm. Inverted-F antenna on most Wi-Fi dongles approximates a 1/4-wave.
LoRa 915 MHz Module
1/4-wave = 81mm wire monopole. Common "stubby" antenna on outdoor LoRa gear uses this length with good SWR.
Ham Radio 20m Dipole
At 14.2 MHz: λ/2 = 10.3m with 0.95 velocity factor = 10.0m tip-to-tip — classic HF backyard dipole.
Bluetooth PCB Trace Antenna
2.45 GHz: Ö/4 = 30.6mm. Meandered PCB trace antennas compress this into a small corner footprint.
ISM 433 MHz Garage Remote
1/4-wave = 173mm — too long for a keyfob. Loaded spring antenna at ~30mm with loading coil gets you close enough.
FM Broadcast 88-108 MHz
1/2-wave dipole at 98 MHz = 1.53m — classic T-shape antenna on old FM receivers.
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