Two point charges, q1 = 2.00 µC and q2 = -32.0 µC are positioned at (-d, -d) and (-4d, 4d) respectively. Let d = 5.00 cm. a) Determine the components, magnitude, and direction of the electric field at the origin. b) If you place a new charge q3 = -5.00µC what must the coordinates be such that the electric field at the origin is 0 N/C?
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