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

Question

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 .

Two Electric Dipoles Of Moment P And 64 P Are Placed In Oppo...

\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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