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Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker
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In Fig. 21-24, three identical conducting spheres

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QUESTION:

In Fig. 21-24, three identical conducting spheres initially have the following charges: sphere A, 4Q; sphere B, $6Q; and sphere C, 0. Spheres A and B are fixed in place, with a center-to-center separation that is much larger than the spheres. 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 and then (separately) to sphere A, and then it is removed. What is the ratio of the electro static force between A and B at the end of experiment 2 to that at the end of experiment 1? . C A d B Figure 21-24 8 and 65

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QUESTION:

In Fig. 21-24, three identical conducting spheres initially have the following charges: sphere A, 4Q; sphere B, $6Q; and sphere C, 0. Spheres A and B are fixed in place, with a center-to-center separation that is much larger than the spheres. 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 and then (separately) to sphere A, and then it is removed. What is the ratio of the electro static force between A and B at the end of experiment 2 to that at the end of experiment 1? . C A d B Figure 21-24 8 and 65

ANSWER:

Q: In Fig. 21-24, three identical conducting spheres initially have the following charges: sphere A, 4Q; sphere B, -6Q; and sphere C, 0. Spheres A and B are fixed in place, with a center-to-center separation that is much larger than the spheres. 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 and then (separately) to sphere A, and then it is removed. 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?

        

                                                             

                                                             Step By Step Solution

Step 1 of 4

Let's assume that the initial charges of two particles A and B are:

Charge on A:

Charge of B:

When these two charges are touched, the two charges becomes equally charged with charge:

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