The electric field and the potential of an electric dipole vary with distance r as

Options

A. `1/r` and `1/(r^(2))`
B. `1/(r^(2))` and `1/r`
C. `1/(r^(2))` and `1/(r^(3))`
D. `1/(r^(3))` and `1/(r^(2))`

Answer

D

Explanation

Electric field and electric potential at a general point at a distance r from the centre of the dipole is
`E_(g)=1/( 4 pi epsilon_(0)) p/(r^(3)) sqrt((3cos^(2)theta+1))`
and `V_(epsilon)=1/(4 pi epsilon_(0)) (p cos theta)/(r^(2))`