Electrostatics Question 127

Question: The capacitance of a parallel plate capacitor is $ 12\mu F $ . If the distance between the plates is doubled and area is halved, then new capacitance will be [MH CET 2002]

Options:

A) $ 8\mu F $

B) $ 6\mu F $

C) $ 4\mu F $

D) $ 3\mu F $

Show Answer

Answer:

Correct Answer: D

Solution:

$ C=\frac{{\varepsilon _{0}}A}{d} $ As A are $ \frac{1}{2} $ times and d are 2 times So $ C\to \frac{1}{4} $ times i.e. $ {C}’=\frac{1}{4}C=\frac{12}{4}=3\mu F $



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