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Question

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
  1. nC
  2. (n+1)C
  3. (n1)C
  4. nC

A
(n+1)C
B
nC
C
nC
D
(n1)C
Solution

The correct option is D (n1)C
If n equally spaced plates are stacked alternatively then its diagramatic representation can be shown as follows:

Upon furthur simplication, the above figure can be rearranged as
We can see that the number of capacitors formed due to 4 plates alternatively are 3. Therefore, if n number of plates are to be stacked alternatively the the number of capacitors formed in parallel will be (n1).
Ceq=(n1)C

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