The center of mass is defined as _{} Suppose we define “center of charge” as _{} where q_{i} represents the ith charge placed at and Q is the total charge of the system.

(a) Can the center of charge of a two-charge system be outside the line segment joining the charges?

(b) If all the charges of a system are in X.Y plane, is it necessary that the center of charge be in X-Y plane?

(c) If all the charges of a system lie in a cube, is it necessary that the center of charge be in the cube?