When multiple capacitors are connected, they share the same current or electric charge, but the different voltage is known as series connected capacitors or simply capacitors in series.
What happens if a capacitor is connected in series?
When capacitors are connected in series and a voltage is applied across this connection, the voltages across each capacitor are generally not equal, but depend on the capacitance values.
So, the analysis of the capacitors in series connection is quite interesting and plays a crucial role in electronic circuits. When multiple capacitors are connected, they share the same current or electric charge, but the different voltage is known as series connected capacitors or simply capacitors in series.
What is the total capacitance of a series connected capacitor?
The total capacitance ( C T ) of the series connected capacitors is always less than the value of the smallest capacitor in the series connection. If two capacitors of 10 µF and 5 µF are connected in the series, then the value of total capacitance will be less than 5 µF. The connection circuit is shown in the following figure.
What if two series connected capacitors are equal?
If the two series connected capacitors are equal and of the same value, that is: C1 = C2, we can simplify the above equation further as follows to find the total capacitance of the series combination.
As for any capacitor, the capacitance of the combination is related to both charge and voltage: C = Q V. When this series combination is connected to a battery with voltage V, each of the capacitors acquires an identical charge Q.
What is the reciprocal of the equivalent capacitance of a series connection?
(1) The reciprocal of the equivalent capacitance of a series combination equals the sum of the reciprocals of the individual capacitances. In a series connection the equivalent capacitance is always less than any individual capacitance. Capacitors in Parallel Fig.3: A parallel connection of two capacitors.