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Intensity of an electric field (E) depends on distance r, due to a dipole, is related as

1. \( E \propto \frac{1}{r} \)
2. \( E \propto \frac{1}{r^2} \)
3. \( E \propto \frac{1}{r^3} \)
4. \( E \propto \frac{1}{r^4} \)

Correct answer: \( E \propto \frac{1}{r^3} \)

Solution

The electric field intensity due to a dipole varies inversely with the cube of the distance from the dipole, i.e., E ∝ 1/r³. This is derived from the mathematical expression for the electric field of a dipole.

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