First slide

Electric dipole

Question

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

Moderate

A

1 : 1
B

$1 : \sqrt{2}$
C

1 : 2
D

$\sqrt[3]{2} : 1$

Solution

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

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