Capacitors in Series Calculator

Capacitors in series combine like resistors in parallel.

How the Math Works

When capacitors are connected in series, the total capacitance is found by taking the reciprocal of the sum of the reciprocals of each individual capacitance. This is expressed by the formula: 1/C = 1/C1 + 1/C2 + 1/C3. The reason the formula uses reciprocals is that capacitors in series behave oppositely to resistors in parallel - the voltage divides across each capacitor while the same charge flows through all of them, resulting in a total capacitance that is always smaller than the smallest individual capacitor in the series.

Practical Applications

To use this calculator in practice, simply enter the capacitance values of each capacitor in your series configuration into the designated fields. The calculator will automatically compute the total equivalent capacitance. For example, if you have capacitors of 10µF, 20µF, and 30µF in series, the calculation would be 1/C = 1/10 + 1/20 + 1/30, resulting in a total capacitance of approximately 5.45µF. This calculation is essential when designing circuits that require specific capacitance values or when replacing multiple capacitors with a single equivalent component.

Day-to-Day Use

Understanding series capacitance helps you make informed decisions when working with electronic devices, from audio equipment to smartphones. When troubleshooting faulty electronics, knowing how to calculate total capacitance can help you determine if a series of capacitors is providing the correct filtering or timing functions. Additionally, this knowledge helps you safely modify or repair electronic devices by calculating whether your replacement capacitors will function correctly in the original circuit configuration, potentially saving you from costly mistakes or device damage.

Worked example

10 µF + 10 µF in series → 5 µF.

FAQ