ELECTROSTATICS O2

Solution 2

Solution

Like Charges (Repulsion) + + r_eff > r_center Unlike Charges (Attraction) + r_eff < r_center

When charged spheres interact, the charges do not remain uniformly distributed due to electrostatic induction (or polarization in insulators).

  1. Like Charges (Repulsion): The charges repel each other and redistribute to the farthest surfaces of the spheres. This increases the effective distance between the charge centers ($r_{eff} > r_{center}$). Since $F \propto 1/r^2$, the measured repulsive force ($F_m$) will be less than the calculated force ($F_c$) which assumes point charges at the center.
    Result: $F_c > F_m$.
  2. Unlike Charges (Attraction): The charges attract each other and accumulate on the inner surfaces (closest to each other). This decreases the effective distance ($r_{eff} < r_{center}$). Therefore, the measured attractive force ($F_m$) is greater than the calculated force ($F_c$).
    Result: $F_c < F_m$.

This phenomenon occurs for both conducting and insulating spheres (via polarization), making the conclusion certain irrespective of material.

Answer: (d)