You have four identical conducting spheres A, B, C, and 0, In each scenario belo

Question

You have four identical conducting spheres A, B, C, and 0, In each scenario below, sphere A starts with a charge of +Q, white B, C. and D start out with no net charge, and then the spheres are touched to each other and separated in the order described Any spheres not m contact are held very far away For each scenario, give the final charge of sphere B as a whole number fraction of Q For example, rf you decide that the final charge of sphere B is Q/7. enter "1" in the numerator and "7" in the denominator. Remember! Before each scenario begins, spheres A, B, C, and D are reset to charges of +Q, 0, 0, and 0 again

Explanation / Answer

scenario 1: A and B touch . The charge of A is distributed equally among A and B(since all spheres are identical).after being separated the charge of B will be (1/2)Q.

scenario 2: A and B touch . The charge of A is distributed equally among A and B(since all spheres are identical).after being separated the charge of B will be (1/2)Q. Then B and C touch . The charge of B is distributed equally among C and B. After being separated the charge of B will be (1/4)Q.

scenario 3:   A and D touch . The charge of A is distributed equally among A and D(since all spheres are identical).after being separated the charge of D will be (1/2)Q. Then D and C touch . The charge of D is distributed equally among C and D. After being separated the charge of D will be (1/4)Q. Again   A and D touch . The charge of D and A is distributed equally among A and D. after being separated the charge of A will be (3/8)Q. Then A and B touch . The charge of A is distributed equally among A and B. After being separated the charge of B will be (3/16)Q.  

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