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Q. Intensity of an electric field $E$ due to a dipole, depends on distance $r$ as:

Punjab PMETPunjab PMET 2004Electrostatic Potential and Capacitance

Solution:

Here: Electric field $=E$
Distance $=r$
The electric field intensity due to dipole is
$E=\frac{1}{4 \pi \varepsilon_{0}} \times \frac{2 p}{r^{3}} \propto \frac{1}{r^{3}}$