• Pixel-art sticker of Chainus, personifying Capacitors in Series, with the caption “In A Line, Store Less.”

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Chainus

Capacitors in Series Physics

\[\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2}\]
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Meet Chainus, two capacitors in a line who hold less together than either alone. In series each carries the same charge and reciprocal capacitances add, so 6 μF and 3 μF make 2 μF. On 12 V, the smaller one takes the bigger share, 8 V. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
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 Chainus, two capacitors holding hands in a line, who together hold less than either one alone.

A capacitor stores charge on two metal plates separated by a gap. When capacitors are joined one after another in series, the same charge must build up on every one of them, because charge that leaves one plate has to land on the next. The battery's voltage is shared between them.

The total capacitance obeys 1/C = 1/C₁ + 1/C₂. A 6 μF and a 3 μF capacitor in series give C = 2 μF, smaller than either.

On a 12 V battery the pair stores Q = CV = 24 μC. Each capacitor carries that same 24 μC, so the 6 μF one has 4 V across it and the 3 μF one has 8 V. The smaller capacitor takes the bigger share of the voltage.

Engineers chain capacitors to handle voltages that would break a single one. Put them side by side in parallel instead, and their capacitances simply add.

Equations

\[\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2}\]
Symbols
SymbolMeaningUnit
\(C\) total capacitance \(\mathrm{F}\)
\(C_1\) first capacitance \(\mathrm{F}\)
\(C_2\) second capacitance \(\mathrm{F}\)