Question

The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to(a) r(b) $\frac{1}{r}$(c) $\frac{1}{r^{2}}$(d) $\frac{1}{r^{3}}$

Answer 1

Option B

$\frac{1}{r}$

Answer 2

Answer:

1/r²

Explanation:

An electric dipole is an arrangement where two equal and opposite charges are separated by a small distance. Electric potential due to dipole at a point away from the dipole is represented by the equation -

V=(1/4πε₀) Pcosθ/r²

Since, electric potential is inversely proportional to r²

Hence. V α 1/r²

Electric potential due to a small electric dipole at a large distance r from the center of the dipole is always proportional to 1/r². Therefore, the electric potential due to a small electric dipole at a large distance r from the center of the dipole is proportional to 1/r²