The electric field at point P due to an electric dipole is E. The electric field at point R on equatorial line will be E/x. The value of x: Numerical answer type. Work it out, then open the answer.

Answer: 16. P is on the axis at distance r: E = (2kp)/(r³). R is on the equatorial line at 2r: ER = (kp)/((2r)³) = (kp)/(8r³). ER = 1/16·(2kp)/(r³) = E/16 So x = 16.

The electric field at point P due to an electric dipole is E. The… | JEE Main 2024 (5 Apr, Shift 2)

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Electric Dipole

The electric field at point $P$ due to an electric dipole is $E$ . The electric field at point $R$ on equatorial line will be $\frac{E}{x}$ . The value of $x$ :

Numerical answer type. Work it out, then open the answer.

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Answer: 16

P is on the axis at distance $r$ : $E = \frac{2kp}{r^3}$ .
R is on the equatorial line at $2r$ : $E_R = \frac{kp}{(2r)^3} = \frac{kp}{8r^3}$ .
$E_R = \frac{1}{16}\cdot\frac{2kp}{r^3} = \frac{E}{16}$
So $x = 16$ .

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