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 $
Show Answer
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 $
