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3. Five identical 2-microcoulomb charges are located on an xy-coordinate system such that one charge is at the origin and the other four are located at (1,0), (0,1), (- 1,0), and (0,-1) respectively. (This problem illustrates the concept of symmetry.)
(a) (10 points) Draw a diagram illustrating this situation.
(b) (10 points) Determine the force on the charge at the origin.
(c) (10 pts) Remove the charge at (1,0) and determine the force on the charge at the origin.
4. (10 points) Consider the system of charges described in Problem 3. Determine the difference in voltage between point a (6,0) and point b (-6,0).
(Does the concept of symmetry provide any help here?)
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