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Question

A foil of aluminium of negligible thickness is inserted in between the space of a parallel plate condenser. If the foil is electrically insulated, the capacity of the condenser will :

increase
decrease
remain unchanged
become zero

A

increase

B

decrease

C

remain unchanged

D

become zero

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Solution

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The capacity of condenser before inserting foil is $C = \frac{A ϵ_{0}}{d}$ where A be the area of plate and $d$ be the separation between plates.
After inserting foil the there will be two capacitors in series with capacitance 2C as distance is halved and the series combination of the two will give equivalent capacitance of C, hence, capacity will remain same.

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