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Please solve both Part 2. Free-Response Questions Gentle reminder: sketch a diagram, whenever possible, to visualize the data and conditions given and help analyze relationships

Please solve both

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Part 2. Free-Response Questions Gentle reminder: sketch a diagram, whenever possible, to visualize the data and conditions given and help analyze relationships among them. 1. (6 points) As shown in the figure, the three spheres are identical and made up of conducting material. Spheres A and B are fixed in place, with a center-to-center separation that is much larger than the spheres. Charges are as follow. QA = 4Q, QB = -6Q and Qc = 0. Two experiments are conducted. In experiment 1, sphere C is touched to sphere A and then (separately) to sphere B, and then it is removed. In experiment 2, starting with the same initial states, the procedure is reversed: Sphere C is touched to sphere B B and then (separately) to sphere A, and then it is removed. a) How much charge is on each of the spheres after the first touch and second touch in Experiment 1? b) How much charge is on each of the spheres after the first touch and second touch in Experiment 2? C c) What is the ratio of the electrostatic force between A and B at the end of experiment 2 to that at the end of experiment 1? 2. (12 points) A thin rod, placed along x-axis, has a charge Q=+20.00 nC (Q = +20.00 nC) uniformly distributed over its length L = 12.00 cm 4.00 cm 12.0 cm. a = 4.00 cm and b = 8.00 cm. 8.00 cm a) What is the linear charge density of the rod? P b) Find the x component of the electric field at point P. c) Find the y component of the electric field at point P. d) Find the magnitude and direction of the total electric field at P

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