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Physics · Electrostatic Potential

हिन्दी

An electric dipole consists of two charges \( q \) and \( -q \) separated by a small distance \( 2a \). The dipole moment is \( p = q \times 2a \text{ \hat{p}} \). At a point far away from the dipole (\( r \gg a \)), the electrostatic potential \( V \) varies with distance \( r \) as:

  1. \( V \propto \frac{1}{r} \)
  2. \( V \propto \frac{1}{r^3} \)
  3. \( V \propto \frac{1}{r^2} \)
  4. \( V \propto r^0 \)

Correct answer · Option 3

\( V \propto \frac{1}{r^2} \)

Explanation

The potential due to a point charge falls off as \( 1/r \), whereas for a dipole, the leading term falls off as \( 1/r^2 \) (\( V = \frac{p \cos\theta}{4\pi\varepsilon_0 r^2} \)).
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