In this problem we consider ensembles of point-like charges and the resulting electric potentials. Let's start with a single point charge of +1.00 n0 located a distance of 2.00 cm from the origin. a. What is the electric potential due to this point charge at the origin? Explain your conclusion. h. Sketch four equipotential lines for this distribution. Explain your sketch. c. Suppose the point charge is moved to any other point on the circumference of a circle of radius 2.00 cm leg. moved to any point on the dashed Iinei. will your answer to part a change? Explain why or why not. d. Suppose a second identical charge is added at some other point on the circumference of the circle. what is the resulting electric potential at the origin? Explain your work. 2. If you want to minimize the amount of energy required to create the arrangement of two charges. where would you place the second charge? Assume that the rst charge is located as shown in the above diagram. Expiain your conclusion. f. For the situation in part e. sketch i'our equipotential lines for this distribution. Explain your sketch. h. Lastly, suppose a charged ring of radius 2.00 cm and charge density ) = 628 is placed as shown below. What is the electric potential at the origin? Explain how you arrived at the result. y 2.00 cm i. Sketch four equipotential lines for charged ring (two inside and two outside the ring). Explain your sketch.5. Consider six identical +1.00 DU point charges arranged symmetrically about the circumference of a circle of radius 2.00 cm. as shown below. Calculate the electric potential and the electric eld vector at the origin. Explain your work. (Him: the symmetryr at the arrangement should make one the calculations trivial, just make sure you explain why]