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Physics · Electrostatic Potential

हिन्दी

The electrostatic potential \( V \) at a distance \( r \) from a point charge \( Q \) is given by \( V(r) = \frac{Q}{4\pi\varepsilon_0 r} \). For a negative point charge (\( Q < 0 \)), which of the following statements is true?

  1. Potential is positive for all finite values of \( r \) and decreases as \( r \) increases.
  2. Potential is negative and increases toward zero as \( r \) approaches infinity.
  3. Potential is zero everywhere in the vicinity of the charge.
  4. Potential is negative for all finite values of \( r \) and its magnitude increases as \( r \) decreases.

Correct answer · Option 4

Potential is negative for all finite values of \( r \) and its magnitude increases as \( r \) decreases.

Explanation

For \( Q < 0 \), \( V(r) \) is negative and approaches zero from below as \( r \to \infty \).
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