Set up arrangment of three point charges : `q, + 2q and x q` separated by equal finite distances so that electric potential energy of the system is zero. What is x ?

Set up an arrangement of three point charges +q, +2q, and +2xq separated by equal finite distances so that electric potential energy of the system is zero. Find the value of x.

Suggest a configuration of three point charges separated by finite distances that has zero electric potential energy.

Is it possible to have an arrangement of two point charges separated by finite distances such that the electric potential energy of the arrangement is the same as if the two charges were infinitely far apart? What if there are three charges?

Is it possible to have an arrangement of two point charges separated by finite distances such that the electric potential energy of the arrangement is the same as if the two charges were infinitely far apart? What if there are three charges?

The electric potential enegy U of the system of charges q_1 and q_2 is

Three charges -q, Q and -q are placed at equal distances on a straight line. If the total potential energy of the system is zero, then what is the ratio q/Q ?

Two point charges Q and -Q/4 are separated by a distance x.