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The capacitors C1 and C2 having plates of area A each, are connected in serieis, as shown. Compare the capacitance of this combination with the capacitor C3 again having plates of area A each, but made up as shown in the figure.

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Now, capacitor C3 can be considered as made up of

two capacitors C1 and C2 each of plate area A and

separation d, connected in series.

Hence, the net capacitance of the combination is

equal to that of C3

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