First slide

Electrostatic force

Question

Two similar spheres having $+ Q$ and $- Q$ charge are kept at a certain distance. F force acts between the two. If in the middle of two spheres, another similar sphere having $+ Q$ charge is kept, then it experience a force in magnitude and direction as

Moderate

A

Zero having no direction
B

8F towards $+ Q$ charge
C

8F towards $- Q$ charge
D

4F towards $+ Q$ charge

Solution

Initially, force between A and C $F = k \frac{Q^{2}}{r^{2}}$
When a similar sphere B having charge +Q is kept at the mid point of line joining A and C, then Net force on B is
$F_{net} = F_{A} + F_{C} = k \frac{Q^{2}}{(r / 2)^{2}} + \frac{{kQ}^{2}}{(r / 2)^{2}} = 8 \frac{{kQ}^{2}}{r^{2}} = 8 F$
(Direction is shown in figure)

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