Question

Two small spheres each having the charge $+Q$ are suspended by insulating threads of length $L$ from a hook. This arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be

• A. $180^{\circ },\frac{1}{4\pi {\epsilon }_0}\frac{Q^2}{(2L{)}^2}$
• B. $90^{\circ },\frac{1}{4\pi {\epsilon }_0}\frac{Q^2}{L^2}$
• C. $180^{\circ },\frac{1}{4\pi {\epsilon }_0}\frac{Q^2}{2L^2}$
• D. $180^{\circ },\frac{1}{4\pi {\epsilon }_0}\frac{Q^2}{L^2}$

Answer 1

Answer: (A)

The position of the balls in the satellite will become as shown below

Thus angle $\theta =180^{\circ }$ and Force $=\frac{1}{4\pi {\epsilon }_0}\cdot \frac{Q^2}{(2L{)}^2}$