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Question

Physics Question on electrostatic potential and capacitance

What is the area of the plates of a 3F parallel plate capacitor, if the separation between the plates is 5 mm ?

A

1.694×109m21.694\times10^9m^2

B

4.529×109m24.529\times10^9m^2

C

9.281×109m29.281\times10^9m^2

D

12.981×109m212.981\times10^9m^2

Answer

1.694×109m21.694\times10^9m^2

Explanation

Solution

The expression of parallel plate capacitor is given by C=Aϵ0dC =\frac{ A \epsilon_{0}}{ d } so area of plate, A=Cdϵ0=3×(5×103)8.85×1012A=\frac{C d}{\epsilon_{0}}=\frac{3 \times\left(5 \times 10^{-3}\right)}{8.85 \times 10^{-12}} =1.694×109m2=1.694 \times 10^{9} m ^{2}