Capacitors in Series |

The equations for calculating capacitors in Series, and for calculating the voltage across each capacitor, is on the left. You might note that the equations for capacitance are similar to resistors in Parallel. While capacitors in Parallel are simply added together (see the section below), whereas capacitors in Series require a more complicated equation.

The resultant of two capacitors in Series
can be calculated using the top equation. For three, or more, capacitors, the
second equation needs to be used. Enter your capacitor values at the top of the diagram,
under C_{1}, C_{2},
and C_{3}, and then click outside the box to find
C_{T} for the capacitors in
Series. If you only wish to calculate the resultant value of two
capacitors, leave one of the boxes empty or enter
0.

The relationship of the voltages across each capacitor is shown in the
Voltage equations. For each capacitor in series, the voltage across
a particular capacitor is equal to the Total Capacitance
(C_{T}) divided by the capacitance of the capacitor,
which is then multiplied by the Total Voltage
(E_{XY}). Entering a voltage in the box marked
E_{XY}, and then clicking outside the box, will
mark the voltages across each capacitor.

Capacitors in Parallel |

On the left is the equation for capacitors in parallel. The total, C_{T},
is the sum of all the values in parallel. The drawing to the right can be used to illustrate that
fact.

In the areas provided, enter your capacitor values for C_{1},
C_{2}, and C_{3}, and
then click outside the box, to find C_{T} for the
capacitors in Parallel. If you only wish to calculate the resultant
value of two capacitors, leave one of the boxes empty or enter
0.

Capacitors in Series/Parallel |

C1 = µF | C2 = µF |

C3 = µF | C4 = µF |

Voltage (each Capacitor) = VDC | |

Total Voltage X to Y = VDC | |

It's common to run into a problem where you have capacitors of the correct capacitance, but the voltage rating is only 1/2 of the voltage required. If you have extra capacitors of the same value, you can use four capacitor in a Series/Parallel arrangement to obtain a voltage rating that meets your requirements. To insure that the capacitors share the applied voltage properly, it is common to place a balancing resistor, 100 Ω per volt, across each parallel pair.

For example, say you have bunch of 50µF capacitors rated at 200 Volts DC, but want to use them on a power supply that requires capacitors with a 400 Volts DC rating. Four of these capacitors, in a Series/Parallel arrangement, will provide you with 50µF @ 400 Volts DC. In this case, the resistors values would be 20KΩ (100Ω*200V=20,000Ω). That is assuming a maximum of 200 V DC across each capacitor. Probably, a common 22KΩ 10% resistor would be usable. With 22KΩ resistors across each capacitor pair, and 200 Volts DC across them, the current would be 9.091 mA and the power would be 1.82 Watts. 5 Watt resistors would be needed to be safe.

Some Quick Things To Remember About Capacitors In Series |

The resultant value is always

*less*than the lowest capacitor.If the capacitors are of

*equal*value, the resultant value is equal to the value of*one*of the capacitors,*divided*by the number of capacitors. For example, if there are three 100 pF capacitors in series the resultant value will be 100/3 = 33.333 pF.If a very

*large*capacitor and a very*small*capacitor are in series, the resultant value will only be a*little bit less*then the smaller capacitor. For example, if there are a 10,000 pF capacitor in parallel with a 100 pF capacitor the resultant value will be 99 pF. Just 1 pF less than the lower value resistor.

Note: There are many instances of having small capacitors in parallel with large ones. Most commonly, this is seen in power supplies. This is done to exploite the physical properties of the different capacitor types, rather than adjust the value.