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Which of the following is not true? [EAMCET 2011]

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For a point charge, the electrostatic potential varies as 1/r

For a dipole, the potential depends on the position vector and dipole moment vector

The electric dipole potential varies as 1/ r at large distance

For a point charge, the electrostatic field varies as 1/r²

answer is C.

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Detailed Solution

For a point charge, $V \propto \frac{1}{r}$

For a dipole, $V = \frac{1}{4 {πε}_{0}} \cdot \frac{p}{r^{2}}$ [on axial position]

i.e. $V \propto \frac{1}{r^{2}}$

The electric dipole potential varies as 1/ r at large distance is not true.

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