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Byju's Answer

Standard XII

Physics

Dipoles

Charges - q a...

Question

Charges $- q$ and $+ q$ located at $A$ and $B$ respectively, constitute an electric dipole. Distance $A B = 2 a$ , $O$ is the mid point of the dipole and $O P$ is perpendicular to $A B$ . A charge $Q$ is placed at $P$ where $O P = y$ and $y >> 2 a$ . The charge $Q$ experiences an electrostatic force $F$ . If $Q$ is now moved along the equatorial line to $P^{'}$ such that $O P^{'} = (\frac{y}{3})$ , the force on $Q$ will be close to
Here $(\frac{y}{3} >> 2 a)$

3 F

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\frac{F}{3}

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9 F

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27 F

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Solution

The correct option is D $27 F$
Electric field of equitorial line of dipole
$= - \frac{K \to P}{r^{3}}$

$∴ At point P, F = + Q \frac{K P}{y^{3}}$
At point $P^{1}, F^{1} = + Q \frac{K P}{{(\frac{y}{3})}^{3}} = 27 F$ .

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The correct option is D 27FElectric field of equitorial line of dipole =−K→Pr3 ∴At point P, F=+QKPy3 At point P1,F1=+QKP(y3)3=27F.

The correct option is D $27 F$
Electric field of equitorial line of dipole
$= - \frac{K \to P}{r^{3}}$

$∴ At point P, F = + Q \frac{K P}{y^{3}}$
At point $P^{1}, F^{1} = + Q \frac{K P}{{(\frac{y}{3})}^{3}} = 27 F$ .