The electric field in a certain region is acting radially outwards and is given by `E=Ar. A` charge contained in a sphere of radius `'a'` centred at the origin of the field, will given by

Options

A. `4pi epsilon_(0)Aa^(2)`
B. `Aepsilon_(0)a^(2)`
C. `A pi epsilon_(0)Aa^(3)`
D. `epsilon_(0)Aa^(3)`

Answer

C

Explanation

Given,`" "E=Ar" …(i)"`
Here,`" "r = a`
`E=(1)/(4pi epsilon_(0)).(q)/(a^(2))`

From eq. (i)
`(1)/(4pi epsilon_(0)).(q)/(a^(2))=Aa`
`rArr" "q=4piepsilon_(0)Aa^(3)`