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Calculate the Total Capacitance for Parallel and Series Capacitors

Capacitors store energy for later use. The capacitance is the ratio between the amount of charge stored in the capacitor and the applied voltage. Capacitance is measured in farads (F).

Find the equivalent capacitance of parallel capacitors

You can reduce capacitors connected in parallel or connected in series to one single capacitor.

Consider the first circuit shown here, which contains three parallel capacitors. Because the capacitors are connected in parallel, they have the same voltages:

v1(t) = v2(t) = v3(t) = v(t)
image0.jpg

Adding the current from each parallel capacitor gives you the net current i(t):

image1.jpg

For parallel capacitors, the equivalent capacitance is

CEQ = C1 + C2 + C3

Find the equivalent capacitance for capacitors in series

For a series connection of capacitors, apply Kirchhoff’s voltage law (KVL) around a loop in the bottom diagram of sample circuit. KVL says the sum of the voltage rises and drops around a loop is 0, giving you

image2.jpg

A series current has the same current i(t) going through each of the series capacitors, so

image3.jpg

The preceding equation shows how you can reduce the series capacitance to one single capacitance:

image4.jpg
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