Capacitors in series and in parallel capacitors are one of the standard components in electronic circuits. Obviously there can be practical limits dependent upon the application space and other physical limitations.
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Series in capacitor. In theory there is no limit to the number of capacitors that can be added in series. In this case by connecting five or more such capacitors in series the high voltage would be divided across all the capacitors and the maximum rating would not be exceeded. If two or more capacitors are connected in series the overall effect is that of a single equivalent capacitor having the sum total of the plate spacings of the individual capacitors.
When capacitors are connected in series the total capacitance can be determined by taking the reciprocal of the capacitance of each capacitor and adding these together to give the reciprocal of the total capacitance. Another example for the use of serially connected capacitors is a possible replacement of a car battery with a capacitor bank made of supercapacitors. Two or more capacitors in series will always have equal amounts of coulomb charge across their plates.
The equivalent capacitance is the reciprocal of the summation of reciprocal of individual capacitances. For example in the series connected resistors the equivalent resistance is the sum of the resistances of individual resistors. When capacitors are connected in series the total capacitance is less than any one of the series capacitors individual capacitances.
However it differs in the case of series connected capacitors. It is therefore useful to have a set of rules for finding the equivalent capacitance of some general arrangement of capacitors. Also for capacitors connected in series all the series connected capacitors will have the same charging current flowing through them as it i1 i2 i3 etc.
Moreover complicated combinations of capacitors often occur in practical circuits.
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