Capacitors in series

With capacitors, there is almost never any mutual interaction. This makes capacitors somewhat easier to work with than inductors.
Capacitors in series add together like resistors in parallel. If you connect two capacitors of the same value in series, the result will be half the capacitance of either component alone. In general, if there are several capacitors in series, the composite value will be less than any of the single components. It is important that you always use the same size units when determining the capacitance of any combination. Don’t mix microfarads with picofarads. The answer that you get will be in whichever size units you use for the individual components.
Suppose you have several capacitors with values C₁, C₂, C₃, . . . Cn all connected in series. Then you can find the reciprocal of the total capacitance, 1/C, using the following formula:

1/C = 1/C₁ + 1/C₂ + 1/C₃ +…+ 1/C_n
The total capacitance, C, is found by taking the reciprocal of the number you get for 1/C.
If two or more capacitors are connected in series, and one of them has a value that is extremely tiny compared with the values of all the others, the composite capacitance can be taken as the value of the smallest component.