The electric field at point ppp due to an electric dipole is E. The electric field at point RRR on the equatorial line will be . The value of is

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Solution

Q.
The electric field at point p due to an electric dipole is E. The electric field at point R on the equatorial line will be $\frac{E}{x}$ . The value of $x$ is _____ . [2024]

Ans.
(16)

$E_{P} = \frac{2 k p}{r^{3}} = E (at axial)$

$E_{R} = \frac{k p}{{(2 a)}^{3}} (at equational)$

$E_{R} = \frac{k p}{8 r^{3}} = \frac{2 k p}{16 r^{3}} = \frac{E}{16}$

$E_{R} = \frac{E}{16}$

$Hence x = 16$

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