(4) A collection of charges will be assembled piece by piece as described in the following parts. We will analyze it in stages. Until explicitly introduced, there are no charges or elds in the space. Unless explicitly removed, no charges leave. (a) Stage 1: A point charge (q1 = 8.84n0) is brought from innitely far away and placed at the origin. How much work is required to place the charge there? What is the electric eld of this charge at (0,0, ~1.340m)? [4pts] (b) Stage 2: A second point charge (q2 = ~2.87n0) is brought from innitely far away and placed at (0, 2.55am, 0). How much work is required to place the charge there? What is the electric eld at (0,0, ~1.34cm)? [6pts] (c) Stage 3: A third point charge is brought from innitely far away and placed at (0, O, 1.34cm). What does its charge need to be so that it requires no work to carry it to that location? If it is impossible for the work to be zero, explain why it is impossible. [3pts] (d) What is the electric potential at (0, D, ~1.34cm)? What would :32 need to be in order to make the electric potential equal to zero at (0, 0, 1.34cm)? If it is impossible to make the electric potential zero at (0,0,w1.34cm) via only changing the charge of q2, explain why it's impossible. [5pts] (e) Stage 4: The charge at the origin is removed and taken innitely far away. Is the work required to do this positive, negative, or zero? If you determined (13 to be zero in part (c) or did not complete part (c), then use :13 = 9.83nC. [Zpts]