question archive There are 3 charges equally spaced around the perimeter of a circle of radius a, which is centered at the origin

There are 3 charges equally spaced around the perimeter of a circle of radius a, which is centered at the origin

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There are 3 charges equally spaced around the perimeter of a circle of radius a, which is centered at the origin. The charges are +2q, -2q and +3q, and form an equilateral triangle of side length D, which is inscribed in the circle as shown in the figure. The angle 0 =120. a - Show how to find the potential at the origin. b - Show how to find the electric potential energy of this configuration of charges. Suppose that a charge Q is now brought from infinitely far away and placed somewhere on the perimeter of the circle such that the potential at the origin becomes zero. c - Show how to find the magnitude and sign of the charge Q in terms of q. d - Where should the charge Q be placed? e - With the charge Q in place, how much work is required to bring another charge of magnitude +19q from infinitely far away and place it at the origin? Explain. D + 20 9= 120' X a +38

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