A parallel plate air capacitor has the same capacity as that of a spherical conductor of diameter 1.2 m. If the plates of the parallel plate capacitor are separated by a distance of 0.2 m, calculate the area of the plates.

Explanation

Diameter D = 1.2 m
Radius r = 0.6 m
Distance between plates
d = 00.2 m
`{:{:("Capacity of parallel"),("plate capacitor"):}}={:{("Capacity of "),("spherical capacitor"):}:}`
`(epsilon_0A)/d=4piepsilon_0r`
where A = area of the plates
`A = 4pird= 4pixx0.6xx0.2`
Area of the plates = 1.51 `m^2`