Excess charges on thin infinite conducting plates distribute evenly across both faces to minimize charge repulsion, achieving electrostatic equilibrium. Conductors, including plates, behave similarly in that they allow free movement of charges, which is why excess charges reside on surfaces. In spherical conductors, charges reside only on the outer surface due to the symmetry of the electric field, which dictates that the electric field inside the conductor remains zero. This distribution is a consequence of the repulsive forces between like charges, leading to the observed behavior. Understanding these principles is crucial for grasping the fundamentals of electrostatics in conductors.