Signals & radio calculator

Wavelength & frequency

Wavelength & frequency: the circuit drawn with the example's values2.4 GHz
2.4 GHz ↔ λ = 125 mm

A wave travels c metres a second; each of its f cycles is c / f long.

Opens in the app on 1 December, with Circuit Notebook 1.0 See it worked out

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The example, worked out

Given

I know
The frequency
Frequency
2.4 GHz
Velocity factor
1

Working

  1. at the speed of light
  2. one cycle

Results

Wavelength λ125 mm
Frequency2.4 GHz
Period417 ps
Half wave λ/262.5 mm
Quarter wave λ/431.2 mm
Quarter-wave whip29.7 mm

The formulas

  1. λ = v / f = c × vf / fslower in a cable, so shorter
  2. quarter-wave whip ≈ 0.95 × λ / 4a little shorter for the end effect

The usual traps

  • Using c in a coaxial cable: the wave goes at 66 % of it.
  • A trace longer than λ/10 behaves as a transmission line.

Questions

How do I calculate the wavelength of a frequency?

λ = v / f = c × vf / f: slower in a cable, so shorter. quarter-wave whip ≈ 0.95 × λ / 4: a little shorter for the end effect.

What does it give for typical values?

2.4 GHz ↔ λ = 125 mm. Wavelength λ: 125 mm.

What are the usual mistakes?

Using c in a coaxial cable: the wave goes at 66 % of it. A trace longer than λ/10 behaves as a transmission line.

In the app

Your circuit, drawn live

Change a value: the schematic redraws with your numbers on the parts.

The part you can buy

Results rounded to standard values (E12, E24, E96) and power ratings.

The working, shown

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Opens in the app on 1 December, with Circuit Notebook 1.0

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