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PROBLEM 2 (15 points) (A) Consider the configuration displayed in Fig. la. Two charges of value q are placed at the vertices A and B of an equilateral triangle. Vertex C is at the origin of the coordinate system (0,0,0). Edge AB is in the ry plane and perpendicular to the a axis. Calculate the electric field at vertex C (B) Consider that the triangle is rotated by an angle ф around the z axis, as shown in FigFig. 1b, while charges remain attached to the vertices. What is the expression of the electric field at vertex C in the new configuration? 2 Figure 1: (A) Charge configuration: the triangle is equilateral, and charges are placed at vertices A and B. The edge AB intersects the axis at coordinate x =-d, d > 0, (b) The triangle in (a) is rotated by angle around the z axis.

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Answer #1

Electric field at a point due to system of charges can be obtained by finding the fields due to each individual charge and then adding these fields according to vector addition.
Calculation and work is shown below.

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