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Physics · Electrostatic Potential

हिन्दी

An electric dipole of moment \( \mathbf{p} \) is aligned at an angle \( \theta \) with a uniform electric field \( \mathbf{E} \). The work done by an external agent in turning the dipole from \( \theta_0 \) to \( \theta \) at infinitesimal angular speed is:

  1. \( pE(\cos\theta_0 - \cos\theta) \)
  2. \( -pE(\cos\theta_0 - \cos\theta) \)
  3. \( pE(\cos\theta + \cos\theta_0) \)
  4. \( pE(\sin\theta - \sin\theta_0) \)

Correct answer · Option 1

\( pE(\cos\theta_0 - \cos\theta) \)

Explanation

W = \int_{\theta_0}^{\theta} p E \sin\theta' d\theta' = p E (\cos\theta_0 - \cos\theta).
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