Antenna Workshop: How Long Is a Radio Wave?

An educational simulation game. Predict the wavelength of FM radio, Wi-Fi, and AM radio, how long a car's antenna should be, and how far apart the hot spots in a microwave oven are, then watch the waves leave the antenna, slowed right down.

WavelengthRadio waves

ANTENNA WORKSHOP

FM radio

Ready
Enable JavaScript to send waves from the antenna. The instructions and worked example remain readable.
WaveAntenna and wavelengthYour predictionRuler and envelope
Wavesλ = c ÷ f

Time

0.00 s

t

Frequency

— MHz

f

Wavelength

— m

λ = c ÷ f

Period

— ns

T = 1 ÷ f

Speed of light

— m/s

c

Predict before you start

Type your prediction to set things up. Start stays off until there is an answer.

Predict how long the waves are.

Mission score—

Every answer must be within 2%: each earns 100 points. Getting it right on the first run adds 50. A run counts as soon as it starts.

✓ Right answer① First try

How to play Antenna Workshop

  1. Choose a test and read the frequency on the card: MHz means 10⁶ Hz, GHz means 10⁹ Hz.
  2. Use λ = c ÷ f with c = 3 × 10⁸ m/s; an antenna is λ ÷ 4, and oven hot spots are λ ÷ 2 apart.
  3. Type your prediction and press Start. The waves play slowed down by their own frequency.
  4. Compare the orange marks with the crests, the antenna, or the melted spots, and with the ladder on the right.

Waves you can't see

Radio, television, mobile phones, Wi-Fi, microwave ovens, and light are all electromagnetic waves: ripples in electric and magnetic fields that need no medium and all travel at the speed of light, c = 3 × 10⁸ m/s. What makes them different is their frequency, and so their wavelength, λ = c ÷ f. An AM station at 1 MHz sends waves 300 m long; FM radio at 100 MHz, 3 m; Wi-Fi at 2.4 GHz, 12.5 cm; visible light has wavelengths of about half a millionth of a metre. Antennas are sized to match: a simple rod a quarter of a wavelength long resonates with the wave, which is why car antennas are under a metre and AM masts are tens of metres tall. In a microwave oven the waves bounce back and forth between the metal walls and set up a standing wave, with hot spots half a wavelength apart and cooler spots in between. That's why the food turns on a turntable, and why a chocolate bar left still melts in spots you can measure.

A focused learning model

Waves travel at exactly 3 × 10⁸ m/s (in air, light is a tiny bit slower). Each wave is slowed down by its own frequency, so one oscillation lasts one second on screen; the wave leaves the antenna and nothing reflects. In the oven, the standing wave is perfect and the hot spots sit exactly half a wavelength apart. Answers within 2% are right.

Changing language keeps your test, prediction, attempts, and run.