Two short electric dipoles of dipole moment p each are placed at two corners of a square as shown in figure. What is ratio of magnitudes of electric field at point O and point A?

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$2 \sqrt{2}$

$\sqrt{2}$

answer is B.

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Detailed Solution

$E_{0} = \frac{KPsin 45 °}{{(\frac{a}{\sqrt{2}})}^{3}} \times 2 = \frac{4 KP}{a^{3}} E_{A} = E \sqrt{2} = \frac{KP}{a^{3}} \sqrt{2} So, \frac{E_{0}}{E_{A}} = \frac{4}{\sqrt{2}} = 2 \sqrt{2}$

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