The effective capacitance or total value (Ct) a connection two or more capacitors in series, is calculated using the equation ever wrote for parallel connection to the resistance, use the formula:

1/Ct = 1/C1 + 1/C2 + 1/C3 + · · · + 1/Cn

where:
C1, C2, C3 = capacitance of each component
Cn = capacitance of the n components

Example question:
See the picture below, how many effective capacitance is given to circuit?

series connection of capacitors
completion:
1/Ct = 1/C1 + 1/C2 + 1/C3
1/Ct = 1 / 47 + 1 / 22 + 1 / 10
1/Ct = 1724/10340
1724Ct = 10 340
Ct = 10340/1742
Ct = 6 μF

conclusion:
  1. Equation series connection of capacitors equal to parallel connection of resistance
  2. Effective capacitance or total value (Ct) a series capacitor circuit is always smaller than the smallest value of capacitor in the circuit.

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