Two electric dipoles of moment P and 64 P are placed in opposite direction on a

Discussion Forum : Electric Charges Fields And Gauss Law

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Two electric dipoles of moment P and 64 P are placed in opposite direction on a line at a distance of 25 cm. The electric field will be zero at point between the dipoles whose distance from the dipole of moment P is

Answer: Option A
:
A

Suppose neutral point N lies at a distance x from dipole of moment $ρ$ or at a distance $X_{2}$ from
dipole of 64 $ρ .$

$\Rightarrow \frac{1}{4 π ϵ_{0}} \frac{2 p}{x^{3}} = \frac{1}{4 π ϵ_{0}} . \frac{2 (64 P)}{(25 - x)^{3}}$
$\Rightarrow \frac{1}{x^{3}} = \frac{64}{(25 - x)^{3}} \Rightarrow x = 5 c m .$

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