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Problem 1 [10 points] A particle with charge Q = +2 μC is 6 cm away from a single large sheet (shown from the side in the picture) with a charge density of a = +200 (a) [2 points] Determine the force (vector) on the charge Q. (b) [3 points] Point a in the picture is located 4 cm above the charge. Determine the magnitude (in N/C) and direction (as an angle with the horizontal) of the net electric field at point a due to the charge and the sheet. a (d) [3 points] Determine the distance between the particle of charge Q and point b. 4 cm 0 (c) [2 points] There is a point in space (we'll call this point b) where the net electric field due to the charge and the sheet vanishes. Draw on the picture where you expect point b to be located. Explain. 1 6 cm 6 cm -