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Wavelength Calculator

Convert frequency ↔ wavelength for any RF/microwave signal, and instantly get quarter-wave (λ/4) and half-wave (λ/2) antenna lengths.

📡 λ = c / f · c = 299,792,458 m/s

Example: 3500 MHz (5G n78) → λ ≈ 8.57 cm, quarter-wave ≈ 2.14 cm.

How it worksThe wavelength formula

Wavelength is the distance one cycle of a wave travels. In free space it equals the speed of light divided by the frequency:

λ = c / f    c = 299,792,458 m/s

λ/4 (quarter-wave) = λ ÷ 4    λ/2 (half-wave) = λ ÷ 2

Quarter-wave and half-wave lengths matter because a monopole antenna is typically λ/4 and a dipole is λ/2. Higher frequency → shorter wavelength → smaller antenna — which is why mmWave 5G arrays are so compact. In a cable or PCB trace multiply by the medium's velocity factor (0.6–0.95).

ReferenceCommon bands

FrequencyWavelengthλ/4Use
700 MHz42.8 cm10.7 cm5G/LTE low-band
2.4 GHz12.5 cm3.12 cmWi-Fi / Bluetooth
3.5 GHz8.57 cm2.14 cm5G n78 mid-band
5 GHz6.0 cm1.5 cmWi-Fi 5/6
28 GHz1.07 cm2.68 mm5G mmWave n257
39 GHz7.69 mm1.92 mm5G mmWave n260

FAQFrequently asked questions

How do you calculate wavelength from frequency?
Divide the speed of light by the frequency: λ = c / f, with c = 299,792,458 m/s. For 3500 MHz, λ = 3e8 / 3.5e9 ≈ 0.0857 m (8.57 cm).
What is the quarter-wavelength used for?
A quarter-wavelength (λ/4) is the classic length of a monopole (whip) antenna and of matching stubs. The calculator returns it automatically.
Does wavelength change inside a cable?
Yes. In a transmission line the wavelength shortens by the velocity factor (VF), typically 0.6–0.95: λ_line = VF × c / f. This page shows the free-space value.
Why are mmWave 5G antennas so small?
Because antenna size scales with wavelength. At 28 GHz the wavelength is ~1 cm, so a λ/4 element is only ~2.7 mm — allowing dozens of elements in a phone-sized array.

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