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Physics · Electrostatic Potential

हिन्दी

A short electric dipole with dipole moment \( \mathbf{p} \) is placed at the origin. The electric potential at a point \( P \) located at a distance \( r \) from the origin, where the position vector makes an angle \( \theta \) with the dipole moment vector, is given by:

  1. \( \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^3} \)
  2. \( \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2} \)
  3. \( \frac{1}{4\pi\varepsilon_0} \frac{p \sin\theta}{r^2} \)
  4. \( \frac{1}{4\pi\varepsilon_0} \frac{p}{r^3} \)

Correct answer · Option 2

\( \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2} \)

Explanation

The electric potential due to a short dipole at a distance \( r \) and angle \( \theta \) is \( V = \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2} \).
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