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The electrostatic potential due to an electric dipole at a distance ' r ' varies as:

Question

The electrostatic potential due to an electric dipole at a distance ' r ' varies as:

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Solution

The electrostatic potential (V) due to an electric dipole at a point located at a distance 'r' from the center of the dipole is given by the formula:

V = k * p * cos(θ) / r^2

where:

  • k is Coulomb's constant (8.99 * 10^9 N.m^2/C^2),
  • p is the dipole moment (charge * separation distance),
  • θ is the angle between the dipole axis and the line connecting the point and the center of the dipole.

This formula shows that the electrostatic potential due to an electric dipole decreases with the square of the distance from the dipole (varies as 1/r^2) and depends on the cosine of the angle θ.

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