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

  • Option 1)

    C

  • Option 2)

    nC

  • Option 3)

    (n-1)C

  • Option 4)

    (n+1)C

 

Answers (2)

As we learnt in

Parallel Grouping -

C_{eq}=C_{1}+C_{2}+\cdots

- wherein

 

 

 

n plates connected alternately give rise to n-1 capacitors connected in parallel

\therefore \: \: \: \: Resultant \: \: \: capacitanc= \left ( n-1 \right )C


Option 1)

C

Incorrect

Option 2)

nC

Incorrect

Option 3)

(n-1)C

Correct

Option 4)

(n+1)C

Incorrect

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