Electrostatics Question 107

Question: In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be [KCET 2001]

Options:

A) $ \frac{C}{2} $

B) $ \frac{3C}{4} $

C) $ 4C $

D) $ 2C $

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Answer:

Correct Answer: D

Solution:

$ C=\frac{{\varepsilon _{0}}A}{d} $ and $ C’=\frac{{\varepsilon _{0}}A}{{ d-\frac{d}{2}+\frac{(d/2)}{\infty } }}=\frac{2{\varepsilon _{0}}A}{d} $

therefore $ C’=2C $



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