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# Find the net force for any charge

Last updated date: 16th Jun 2024
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Hint The force between two charged particles is calculated using the coulomb’s law which quantifies the attraction between two static charged particles. The force is proportional to the product of the charged particles and inversely proportional to the square of the distance between them. Using this formula we can find the net charge of the configuration.
In this solution we will be using the following formula,
Coulomb's law: $F = \dfrac{{k{q_1}{q_2}}}{{{r^2}}}$ where $F$ is the force acting between two charged particles of charge ${q_1}$ and ${q_2}$ which have a distance $r$ between them.

$\Rightarrow F = \dfrac{{k{q_1}{q_2}}}{{{r^2}}}$
So, for the bottom left charge, the force it will experience will be due to the other two identical charges which are situated at a distance $a$. So, the net force will be a sum of the forces due to these charges. So, we can write
$\Rightarrow F = \dfrac{{kQQ}}{{{a^2}}} + \dfrac{{kQQ}}{{{a^2}}}$
$\Rightarrow F = \dfrac{{2k{Q^2}}}{{{a^2}}}$
The distance between any two point charges in the length of the line joining the two points which in our case is the length of the side of the triangle which has a length $a$. Since all the charges are identical, the net force experienced by any particle will be repulsive in nature.