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An electric dipole has moment p. Two points which are at equal distances from the dipole, and far away from it, one on axial line and other on equatorial line have electric intensities $E_{1}$ and $E_{2}$ respectively. The ratio $E_{1} / E_{2}$ must be

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$1$

$\sqrt{2}$

$2$

$\frac{1}{2}$

answer is C.

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Detailed Solution

${\bar{E}}_{A} = \frac{1}{4 π ε_{o}} \frac{2 \bar{p}}{r_{3}} & {\bar{E}}_{E} = - \frac{1}{4 π ε_{o}} \frac{\bar{p}}{r^{3}}$

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