Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance in free space is
`(epsi_(0)` = permittivity of free space)

Options

A. `in_(0)E(R/r)^(2)`
B. `(in_(0)ER)/r^(2)`
C. `in_(0)E(r/R)^(2)`
D. `(in_(0)Er)/R^(2)`

Answer

C

Explanation

The electric intensity out side the charged sphere in terms of surface charge density is given by,
`E=(sigmaR^(2))/(in_(0)Kr^(2))`
`therefore" "sigma=Ein_(0)K(r/R)^(2)`
For free space K = 1
`therefore" "sigma=Ein_(0)(r/R)^(2)`