We can see how this would extend naturally to many capacitors in parallel. Hence, the general ruleforncapacitors in parallel is that we can treat them as an equivalent single capacitor of capacitanceCeq=nXi=1Ci(18)What about capacitors in series?When the three capacitors are wired in series, they haveequal charge on all three capacitors.Also, the sum of the potential differences across all threecapacitors must equal the potential difference of the battery. We can see why the capacitors musthave equal charge by considering the circuit before and after attaching the battery.Before thebattery is attached, the wires attaching each capacitor is electrically neutral (i.e. no charge builtup on either plate). When we hook up the battery, charge will be drawn to one of the capacitorplates which will leave the other capacitor plate with a deficit of charge equal and opposite to thaton the first capacitor. We can now figure out the equivalent capacitance of the system by writingdown the potential across all three capacitors individually.
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