What equation provides the equivalent capacitance for capacitors in series?

The equivalent capacitance for capacitors connected in series can be determined using the formula that involves the reciprocals of the individual capacitances. When capacitors are in series, the total capacitance decreases because the charge stored by each capacitor must be the same, while the voltage across each capacitor adds up.

The equation presented reflects this series relationship. Specifically, the formula 1/Ceq = (1/C1) + (1/C2) + ... + (1/Cn) means that the reciprocal of the equivalent capacitance (Ceq) is equal to the sum of the reciprocals of each individual capacitor's capacitance. This is due to the way voltage divides among capacitors in series: each capacitor has an individual voltage drop that contributes to the total voltage across the series combination.

As a result, when capacitors are added in series, the system behaves such that the total capacitance is always less than the smallest individual capacitor in the series. This behavior is distinctly different from capacitors connected in parallel, where capacitances add directly. Understanding this fundamental distinction is crucial in circuit design and analysis involving capacitors.