4. Six identical positive charges, q=10-13 C are placed, one at each vertex of a regular hexagon in the x-y plane centered at the origin. Let the charges be numbered with the index j from 1 to 6. The position of the j-th charge is xj=a cos(j π/3), yj=a sin(j π/3) where a=3 mm and j=1,2,…,6. Calculate the magnitude of the electric field created by the system of five charges at the location of the sixth charge (j=6).
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