Is the electrostatic potential energy of N number of point charges is path dependent ?

Define electrostatic potential energy of a system of point charges.

What is potential energy ?

Calculate the electrostatic potential energy of the system of charges shown in the figure.

Determine the electrostatic potential energy of a system consisting of two charges -2 muC and +4 muC (with no external field) placed at (-8 cm, 0, 0) and (+8 cm, 0, 0) respectively, (b) Suppose the same system of charges is now placed in an external electric field. E = A(1//r^2) , where A = 8 xx 105 cm^-2 , what would be the electrostatic potential energy of the configuration.

Derive an expression for potential energy due to a point charge.

Is electrostatic potential necessarily zero at a point where electric field strength is zero? Justify.

Under what condition, is the potential energy of two point charges zero?

The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statement are made in this regard. S1: At any point inside the sphere, electric intensity is zero. S2: At any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement ?