Capacitors in Series and Parallel Calculator

Combining capacitors is a daily task in electronics, and the rules are the neat opposite of the ones for resistors, so this calculator does both at once: enter a list of capacitor values and it gives you the total capacitance if they are wired in series and if they are wired in parallel, side by side, updating as you type. The two arrangements behave very differently. In parallel, capacitors simply add together, because connecting them side by side is like enlarging the plate area available to store charge, so the combined capacitance is the straightforward sum and is always bigger than any single one. In series, the capacitors are joined end to end, which effectively increases the distance between the outer plates, and capacitance falls as that separation grows, so you add the reciprocals and take the reciprocal of the total, exactly the method used for resistors in parallel, and the result is always smaller than the smallest capacitor in the chain. That mirror-image behaviour, parallel for resistors looking like series for capacitors and vice versa, is one of the tidy symmetries of circuit theory and a common source of confusion, which seeing both totals together helps clear up. Whatever unit you enter, microfarads, nanofarads or picofarads, the answers come back in the same unit, since the formulas are unit-independent as long as you stay consistent. That makes the tool genuinely useful for electronics students learning about capacitors and circuit combinations and checking homework, and for hobbyists and engineers building filters, timing circuits, power supplies and snubbers, where you often need to reach a particular capacitance by combining the values you have on hand. The formulas and a worked example are explained clearly below.

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