• Pixel-art sticker of Tankion, personifying LC Circuit Resonance, with the caption “Charge Sloshes Back And Forth.”

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Tankion

LC Circuit Resonance Physics

\[f = \frac{1}{2\pi\sqrt{L C}}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Tankion, a capacitor and inductor pair who pass their energy back and forth.

Connect a charged capacitor to an inductor and current starts to flow. The capacitor's energy, stored in its electric field, moves into the inductor's magnetic field. Then the inductor keeps the current going and charges the capacitor the other way. The energy swaps back and forth at a natural frequency.

That frequency is set only by the inductance and capacitance. With L = 0.25 mH and C = 100 pF, f = 1 / (2π √(2.5 × 10⁻⁴ × 1.0 × 10⁻¹⁰)) ≈ 1.0 MHz, which is in the AM radio band.

In a real circuit, resistance turns some of the energy into heat on each swing, so the oscillations slowly die away unless something keeps topping them up.

Radios use this to tune in. The antenna picks up many frequencies, but the LC circuit responds strongly only to signals near its natural frequency. Turning the tuning knob changes the capacitance, which moves that frequency to pick a different station.

Equations

\[f = \frac{1}{2\pi\sqrt{L C}}\]
Symbols
SymbolMeaningUnit
\(f\) natural (resonant) frequency \(\mathrm{Hz}\)
\(L\) inductance \(\mathrm{H}\)
\(C\) capacitance \(\mathrm{F}\)