Rankers Physics

Coulomb's Law: Practice Problem & Solution

9. Point charges $+4q$, $-q$ and $+4q$ are kept on the X-axis at point $x = 0$, $x = a$ and $x = 2a$ respectively. (1988)
Only $-q$ is in stable equilibrium
All the charges are in stable equilibrium
All of the charges are in unstable equilibrium
None of the charges is in equilibrium

Solution Explained:

To solve this problem, we apply the core principles of Coulomb's Law. Understanding the underlying formula is key to arriving at the correct answer below:

The net force on each charge is zero, so all are in equilibrium. However, displacing any charge slightly along the axis results in a net force acting in the direction of displacement, meaning the equilibrium is unstable for all (Earnshaw's theorem).

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