Question

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

• A. $\frac{ 1}{ r}$ and $\frac{ 1}{ r^2 }$
• B. $\frac{ 1}{ r^2}$ and $\frac{ 1}{ r }$
• C. $\frac{ 1}{ r^2}$ and $\frac{ 1}{ r^3 }$
• D. $\frac{ 1}{ r^3}$ and $\frac{ 1}{ r^2 }$

Answer 1

Answer: (D)

$\frac{ 1}{ r^3}$ and $\frac{ 1}{ r^2 }$

Answer 2

Electric fieid and eiectric potential at a general point at a distance r from the centre of the dipoie is $E_g = \frac{ 1}{ 4 \pi \varepsilon_0 } \frac{ P}{ r^3 } \sqrt{ ( 3 \, cos^2 \, \theta + 1) }$ and $V_g = \frac{ 1}{ 4 \pi \varepsilon_0 } \frac{ p \, cos \, \theta }{ r^2 }$