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Question

A parallel plate capacitor has 91 plates, all are identical and arranged with same spacing between them. If the capacitance between adjacent plates is 3 pF. What will be the resultant capacitance?

A
273 pF
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B
30 pF
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C
94 pF
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D
270 pF
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Solution

The correct option is D 270 pF
When n plates are arranged with the same spacing between them, then the combination behaves as (n1) capacitors in parallel since charge on each plate is the same.
Hence, equivalent capacitance is Ceq=(n1)C
Given, n=91 and C=3 pF
Ceq=3×(911)=270 pF

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