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Physics · Electrostatic Potential

हिन्दी

A charge \( q \) is brought from infinity to a point \( \mathbf{r} \) in an external electrostatic potential \( V(\mathbf{r}) \). The electrostatic potential energy of the charge in this external field is given by:

  1. \( -q \, \nabla V(\mathbf{r}) \)
  2. \( \frac{V(\mathbf{r})}{q} \)
  3. \( \frac{1}{2} q \, V(\mathbf{r}) \)
  4. \( q \, V(\mathbf{r}) \)

Correct answer · Option 4

\( q \, V(\mathbf{r}) \)

Explanation

Work done in bringing charge q from infinity to position r in an external field is stored as potential energy, U = q V(r).
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