Frequency-Wavelength Calculator Formula
Understand the math behind the frequency-wavelength calculator. Each variable explained with a worked example.
Formulas Used
Wavelength (m)
wavelength_m = 299.792 / frequency_mhzWavelength (cm)
wavelength_cm = 29979.2 / frequency_mhzWavelength (mm)
wavelength_mm = 299792 / frequency_mhzVariables
| Variable | Description | Default |
|---|---|---|
frequency_mhz | Frequency(MHz) | 2400 |
How It Works
Frequency-Wavelength Relationship
Formula
wavelength = c / f
c = 299,792,458 m/s (speed of light)
Higher frequency means shorter wavelength. This relationship is fundamental to antenna design, optics, and RF engineering.
Worked Example
Wi-Fi at 2400 MHz (2.4 GHz).
frequency_mhz = 2400
- 01Wavelength = 299.792 / 2400 = 0.1249 m
- 02Wavelength = 12.49 cm
- 03Wavelength = 124.9 mm
Frequently Asked Questions
Does this apply to all electromagnetic waves?
Yes, in free space. In materials the speed is reduced by the refractive index, shortening the wavelength.
What frequency bands are common?
AM radio: 0.5-1.7 MHz. FM: 88-108 MHz. Wi-Fi: 2400/5800 MHz. 5G: 600 MHz to 39 GHz.
Why does wavelength matter for PCBs?
When trace lengths approach a fraction of the wavelength, transmission line effects become significant.
Ready to run the numbers?
Open Frequency-Wavelength Calculator