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World 1 · Foundations · 6 min

Frequency

Counting the cycles

Teaching this? Open projector mode

Frequency counts full cycles per second, measured in hertz (Hz). A 50 Hz sinusoidal mains waveform completes 50 cycles each second and reverses current direction twice per cycle—100 reversals per second. 60 Hz gives 120 reversals per second.

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Frequency is closely tied to its cousin period — the time for one cycle. They’re reciprocals: period = 1 / frequency. So 50Hz means each cycle takes 1/50 = 0.02 seconds (20 ms). Higher frequency means shorter, faster cycles.

The idea turns up everywhere once you notice it: the pitch of a buzzer (higher Hz = higher note), a radio station’s channel, a screen’s refresh rate, and a processor’s clock speed. Bigger units keep the numbers manageable: 1 kHz = 1000 Hz, 1 MHz = 1,000,000 Hz, 1 GHz = a billion Hz.

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Frequency is measured in…

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