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
nC
(n+1)C
(n−1)C
nC
A
(n+1)C
B
nC
C
nC
D
(n−1)C
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Solution
The correct option is D(n−1)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 (n−1). ⟹Ceq=(n−1)C
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