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Question

Question: A parallel plate capacitor is made by placing is made by placing n equally spaced plates connected a...

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

A

nC

B

Cn\frac{C}{n}

C

(n+1)C(n + 1)C

D

(n1)C(n - 1)C

Answer

(n1)C(n - 1)C

Explanation

Solution

: When n equally spaced plates are connected alternatively, (n -1) capacitors, each of capacity C are formed. As they are joined in parallel,

Ceq=(n1)C\therefore C_{eq} = (n - 1)C