The optimal distance d for maximizing the x-component force on charge q, positioned on the x-axis, is determined through electrostatic principles. Charge Q, located on the y-axis at a distance a from the origin, exerts a force on charge q that varies with distance d. The solution involves applying Coulomb's Law and differentiating the force equation with respect to d to find the maximum value. The critical point occurs when the derivative equals zero, leading to the optimal distance d that maximizes the force exerted on charge q.
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