The area of each plate of a parallel plate capacitor is `100 cm^(2)` and the distance between the plates is `1 mm`. It is filled with mica of dielectric `6`. The radius of the equivalent capacity of the sphere will be

Options

A. `47.7 m`
B. `4.77 m`
C. `477 m`
D. None of the above

Answer

B

Explanation

`C = (epsilon_(0)AK)/(d) = 4pi epsilon_(0)r`
`r =` Radius of sphere of equivalent capacity
`rArr r = (AK)/(4pi d) = (100 xx 10^(-4) xx 6)/(1 xx 10^(-3) xx 4 xx 3.14) = (15)/(3.14) = 4.77 m`