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 $
