Four point charges are located on the corners of a square as shown in the diagra

Question

Four point charges are located on the corners of a square as shown in the diagram below, with the origin marking the centre of the square. What is the electric potential at the origin? What is the magnitude of the electric field at the origin set up by the four charges? Select the direction of the electric field at the origin from the choices below: e.g., enter H. x -x-y x-y -x x+y -y -x+y y How much work must the outside source do to bring another 1 mu C charge in from infinity and place it at the origin?

Explanation / Answer

14) Distance of charges from origin = r = 2.83 m [because tan45 = 1]

Here due to symmetry, potential will be only due to charges on y-axis.

V = 2kq/r = (2*9*10^9*1*10^-6)/2.83 = 6360.42 V (its correct answer)

15) Here electric field will be only due to charges on x-axis and directed towards right.

E = 2kq/r^2 = (2*9*10^9*1*10^-6)/2.83^2 = 2247.5 N/C

16) +x^ (Option A)

17) W = qV = 6360.42*10^-6 = 0.00636 J

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