Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

# Two Particles a and B, Each Carrying a Charge Q, Are Held Fixed with a Separation Dbetween Them. a Particle C of Mass M and Charge Q is Kept at the Middle Point of the Line Ab. Assuming X<<D, - Physics

Short Note

Two particles A and B, each carrying a charge Q, are held fixed with a separation dbetween them. A particle C of mass m and charge q is kept at the middle point of the line AB.  Assuming x<<d, show that this force is proportional to x.

#### Solution

When < < d:

$F' = \frac{1}{2 \pi\epsilon_0}\frac{qQx}{\left( \frac{d}{2} \right)^3} \left( \because x^2 < < \left( \frac{d}{2} \right)^2 \right)$

$\Rightarrow F' = \frac{4}{\pi\epsilon_0}\frac{qQx}{d^3}$

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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 7 Electric Field and Potential
Q 32.2 | Page 122