3. Five identical 2-microcoulom b charges are located on an xy-co ordinate syste

ID: 1420344 • Letter: 3

Question

3. Five identical 2-microcoulom

b charges are located on an xy-co

ordinate system such that

one charge is at the origin and t

he other four are located at (

1,0), (0,1), (- 1,0), and (0,-1)

respectively. (This problem illust

rates the concept of symmetry

(a) (10 points) Draw a diagram

illustrating this situation.

(b) (10 points) Determine the f

orce on the charge at the origin

at (1,0) and determine the force

on the charge at the origin.

4. Consider the syste

m of charges described in Probl

em 3. Determine the

difference in voltage betwee

n point a (6,0) and point b (-6,0).

(Does the concept of

symmetry provide any help here?)

3) a) Diagram is clear. It will be a square.

b) Due to symmetry, the force at origin will be zero as force due to two charges on opposite edges will be qual and opposite direction.

c) If we remove charge at (1,0), then net force will be only due to charge at (-1,0) and will be towards right.

F = kq^2/r^2 = (9*10^9*2*2*10^-12)/1 = 0.036 N

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