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Physics · Electrostatic Potential

हिन्दी

For a point dipole, the electric potential falls off at large distance as \( 1/r^2 \), whereas for a single point charge it falls off as \( 1/r \). What is the potential decay power of distance for a quadrupole?

  1. \( 1/r \) / \( 1/r \)
  2. \( 1/r^2 \) / \( 1/r^2 \)
  3. \( 1/r^3 \) / \( 1/r^3 \)
  4. \( 1/r^4 \) / \( 1/r^4 \)

Correct answer · Option 3

\( 1/r^3 \) / \( 1/r^3 \)

Explanation

Multipole expansion shows that monopole potential falls as \( r^{-1} \), dipole as \( r^{-2} \), and quadrupole as \( r^{-3} \).
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