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## Homework Statement

"A series combination of capacitors must always be smaller than the smallest individual capacitor."

This is the statement that I am trying to validate, but I am stuck.

## Homework Equations

## The Attempt at a Solution

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I know that if you have a circuit that consists of a cell and a number of capacitors in parallel, the overall effect due to the 'inside' plates neutralising each other, is that of one capacitor with a large plate separation. This large plate separation is what causes the equivalent capacitance to be lower than the sum of it's parts, but I don't understand how I can show that this value must be smaller than that of the smallest capacitor in the circuit.

I can show that it is the case for specific examples, but not a general case.

Thanks for any help you can give,

Jacob.