Three point particles are arranged along the axes of a Cartesian coordinate system. Each charge is a distance 0.5 m from the origin. The top particle lies along the positive y-axis and has a charge of +3 C while the other two particles lie along the positive and negative x-axis and each have a charge -4 C.
A. What is the electric field (magnitude and direction) at the origin?
B. What is the electric potential at the origin?
C. How much work was required to assemble this system of charges, assuming that each charge was originally very far away from the origin of this co-ordinate system and from each other?