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  4. A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C, then the resultant capacitance is :

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Q. A parallel plate capacitor is made by stacking $n$ equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is $C$, then the resultant capacitance is :

AIEEEAIEEE 2005Electrostatic Potential and Capacitance

Solution:

Each plate is taking part in the formation of two capacitors except the plates at the ends.
These capacitors are in parallel and $n$ plates form $(n -1)$ capacitors.
Thus, equivalent capacitance between $A$ and $B = (n-1)C$

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