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Physics · Electrostatic Potential

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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. A
    \( \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^3} \)
  2. B
    \( \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2} \)
  3. C
    \( \frac{1}{4\pi\varepsilon_0} \frac{p \sin\theta}{r^2} \)
  4. D
    \( \frac{1}{4\pi\varepsilon_0} \frac{p}{r^3} \)
View Answer & Solution

Correct answer · Option B

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

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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