[Case Study, Q30 contd.] (ii) An electric dipole is made of charges...

Question

[Case Study, Q30 contd.] (ii) An electric dipole is made of charges +q and −q separated by distance 2a. The force acting on a point charge placed at distance x ($\gg a$) on the axis of the dipole is F. If the distance of the charge is doubled, find the new force.

Accepted Answer

Step 1: On-axis field of a dipole (at large distance) $E \propto 1/x^3$, so force on a test charge $F \propto 1/x^3$.

Step 2: If $x \to 2x$: $F' = F\times\left(\dfrac{x}{2x}\right)^3 = F\times\dfrac18$.

Step 3: Answer: (B) $F/8$.

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