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Q. If the magnitude of intensity of electric field at a distance $x$ on axial line and at a distance $y$ on equatorial line on a given dipole are equal, then $x: y$ is

Electric Charges and Fields

Solution:

$E_{\text {axial }}=E_{\text {equatorial }} $
$\Rightarrow k \cdot \frac{2 p}{x^{3}}=\frac{k \cdot p}{y^{3}}$
$ \Rightarrow \frac{x}{y}=\frac{2^{1 / 3}}{1}=\sqrt[3]{2}: 1$