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Electric Field Due to a Dipole

Two electric ...

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

5 cm

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10 cm

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Solution

The correct option is A 5 cm
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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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

The correct option is A 5 cmSuppose neutral point N lies at a distance x from dipole of moment ρ or at a distance X2 from dipole of 64 ρ. ⇒14πϵ02px3=14πϵ0.2(64P)(25−x)3 ⇒ 1x3=64(25−x)3⇒ x=5cm.