Suppose we have two spheres. One has +5 microCoulombs of charge, and the other has +3 microCoulombs of charge. Show that the ratio of charges on the two surfaces is 5/3 (for instance, by drawing 5 + signs for every 3 + signs on the other).
(2.) Now we have a neutral conducting sphere, but we bring a charge of +2 microCoulombs close to it. Sketch the charge distribution on the sphere (with + and – signs) after the 2 microCoulomb charge is close to (but does not touch) the sphere.
(3.) Now, we connect the side opposite the 2 microCoulomb charge to a grounding wire. What happens?
(4.) After grounding we remove the grounding wire and then move the 2 microCoulomb charge a far distance away. What charge is left on the sphere?
(5.) Repeat problems 2-4 if we have a neutral insulating sphere instead.