1. Let's take a look at inverse-square fields, particularly the force field relating to Coulomb's law. We will restrict ourselves to electrical force in a plane. F(x, y) : Eq192 u Note that, for the force acting on charge q2 from charge q1, the vector u is a unit vector pointing from q1 to q2 and that |r|| is the distance from q1 to q2. We will consider two point charges, with the charge q1 sitting at the origin and another charge q2 at an arbitrary location in the plane except the origin. Leave all answers symbolic; do not try and plug in values for the charges or for c. (a) Give the formula for the Coulomb force field in terms of the position of charge q2 in (x, y). (b) What is the divergence of the force field? Is the field diverging or converging? (c) Is the force field conservative? If so, what is the potential function for this vector field? (d) If charge q2 moves as r(t) = cos(t)i - sin(t)j for 0