The three pages explains how the Coulomb force is calculated for two equal charges, q, separated by a distance of 2d. The force, $\vec{F}{\text{Coulomb}}$, exerted by one charge on the other is a repulsive force with a magnitude given by the formula: $\left|\vec{F}{\text{Coulomb}}\right| = \frac{q^2}{4\pi\epsilon_0 (2d)^2}$. For a charge located at $x_3 = -d$ (the lower charge) due to a charge at $x_3 = d$ (the upper charge), the vector force points in the $-\vec{e}_3$ direction (downward). This result is crucial for verifying the computation of the surface force on the electromagnetic field in a static equilibrium scenario, where the surface force is expected to be equal in magnitude and direction to the Coulomb force on the charge.

Brief audio

Force on Charges and Static Equilibrium-L.mp4

Cue Columns

<aside> ❓

1. What is the Coulomb force exerted by one charge on the other for two equal charges separated by 2d?
2. How is the computed surface force on the field for equal charges verified using Coulomb's Law and the condition for static equilibrium?
3. What is the relationship between the force on the charge and the total force on the field for static equilibrium? </aside>