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An electric dipole consists of two equal and opposite charges separated by a very small distance 2a . The electric potential V at a point located at a distance r from the center of the dipole, such that r 2a , varies with r as:

Options

  1. A1 r
  2. B1 r^3
  3. C1 r^4
  4. D1 r^2

Correct answer

D. 1 r^2

Step-by-step solution

For a short electric dipole, the electric potential V at a distance r from its center is given by V = 1 4 ₀ p r^2 . Since r 2a , the potential V is inversely proportional to the square of the distance. Therefore, V 1 r^2 . Answer: 1 r^2

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