Electrostatics Question 83
Question: What is the area of the plates of a $ 3F $ parallel plate capacitor, if the separation between the plates is $ 5mm $ [AIIMS 1998; Pb. PET 2000; BHU 2002]
Options:
A) $ 1.694\times 10^{9}m^{2} $
B) $ 4.529\times 10^{9}m^{2} $
C) $ 9.281\times 10^{9}\ m^{2} $
D) $ 12.981\times 10^{9}\ m^{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
We have $ C=\frac{{\varepsilon _{0}}A}{d} $
therefore $ A=\frac{Cd}{{\varepsilon _{0}}}=\frac{3\times 5\times {{10}^{-3}}}{8.85\times {{10}^{-12}}} $
$ =1.7\times 10^{9}m^{2} $
