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Electromagnetism & electronics

Tesla coil

Electromagnetism · Resonant transformers

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How can a coil of wire throw lightning-like sparks a metre long into the air?

A Tesla coil has two coils that each “ring” electrically at the same rate, like two identical tuning forks. A spark gives the short, thick bottom coil a sudden kick, and because the tall, thin coil rings at exactly the same rate, energy piles up in it with every swing. The voltage at the top climbs to hundreds of thousands of volts — enough to tear the air apart into sparks.

A Tesla coil is an air-cored resonant transformer: a spark gap repeatedly dumps a charged capacitor into a few-turn primary coil, and the loosely coupled, many-turn secondary coil rings up to hundreds of kilovolts. Efficient energy transfer requires both LC circuits to share the same resonant frequency, f = 1/(2π√LC).

Key facts

Operating frequency
≈ 50–500 kHz (this coil ≈ 237 kHz)
Coupling coefficient
k ≈ 0.1–0.2 (loosely coupled, air core)
Transformer supply
≈ 15 kV, 60 mA neon-sign transformer
Secondary turns
≈ 800–1200 on a form 4–5× taller than wide
Top voltage
Hundreds of kV for a bench-top coil
Air breakdown field
≈ 3 MV/m at sea level

Parts you can explore (11)

In the 3D model

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