From the course: Electronics Foundations: Basic Circuits

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Capacitors in series

Capacitors in series

- [Narrator] Mathematically, the relationship between capacitors in series is similar to the relationship between resistors in parallel. When capacitors are combined in series with each other, the inverse of the total capacitance is equal to the sum of the individual inverse capacitances. According to that relationship, a set of capacitors connected in series will have less total capacitance than each of the individual capacitors. For example, if I combined a 10 microfarad capacitor and two one microfarad capacitors in series, I would first calculate that one over 10 microfarads is 100,000. And one over each of the one microfarad capacitors is one million. Added together, that's two million and one hundred thousand farads which is a really big number. However, that large number is equal to one over the total capacitance. So I'll do a little equation rearrangement to solve for the total capacitance of these three…

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