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Question

If a thin metal foil of the same area is placed between the two plates of a parallel plate capacitor capacitance C, then new capacitance will be
  1. C
  2. 2C
  3. 4C
  4. 3C

A
3C
B
4C
C
C
D
2C
Solution
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The correct option is A C
We have,

C=ϵ0Ad

After placement of plate of equal area in between the two plates, we have two capacitors in series.

Value of each capacitor,

C1=ϵ0Ad/2

C1=2ϵ0Ad=2C

Equivalent capacitance, Ceq=2C×2C2C+2C

Ceq=C

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