First slide

Force between multiple charges

Question

An electric charge Q exerts a force F on a similar electric charge Q separated by a distance $γ$ . A third Q/4 is placed midway between the two charges. Now the force experienced by the charge Q will be

Moderate

A

16 F
B

8F
C

4F
D

2F

Solution

$\begin{array}{l} F = \frac{K Q^{2}}{γ^{2}} \\ F^{1} = \frac{K Q^{2}}{γ^{2}} + \frac{K . Q . \frac{Q}{4}}{{(γ / 2)}^{2}} = \frac{K Q^{2}}{γ^{2}} + \frac{K Q^{2}}{γ^{2}} = 2 F \end{array}$

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