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Point charges 30 nC, -20 nC, -5 nC and 10 nC are located at (-1, 0, 2), (0, 0, 0), (2, 4, 0) and (1, 5, -1), respectively. What is the total flux leaving a cube of side 6m centered at the origin?

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Point charges 30 nC, -20 nC, -5 nC and 10nC are located at (-1,0,2), (0,0,0), (2,4,0) and (1,5,-1), respectively. The total flux leaving a cube of side 6m centered at the origin is:
A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.