Question

The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to

Answer 1

The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to 1 / r square

The formula for electric potential due to dipole P is

V = KP cosθ / r square

where K is kappa constant

            P is dipole

            r is the distance from the centre of the dipole

It is clear from the formula that V is inversely proportional to r square.

Answer 2

​​ Ans : $\boxed{\boxed{V\alpha\frac{1}{r^2}}}$
we know, the formula of electric potential due to dipole at a distance r from the centre of the dipole is

$\bold{V=\frac{KPcos{\theta}}{r^2}}$

where , V is the electrical potential
K is the kappa's constant
θ is the angle between point of observation and axis of dipole.
r is the distance from the centre of the dipole.