You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of +Q whereas 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 in contact are held very far away. For each scenario, give the final charge of sphere D as a whole number fraction of Q. For example, if you decide that the final charge of sphere D is 4, 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. Scenario 1: A andB touch and are separated, then A and C touch and are separated, then A and D touch and are separated. Qp =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of +Q whereas
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 in contact are held very far away. For each scenario, give the final charge of sphere D as a whole
number fraction of Q. For example, if you decide that the final charge of sphere D is , 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.
Scenario 1: A and B touch and are separated, then A and C touch and are separated, then A and D touch and are separated.
Scenario 2: A and B touch and are separated, then B and C touch and are separated, then C and D touch and are separated.
Qp =
Scenario 3: A and D touch and are separated, then D and C touch and are separated, then D and A touch and are separated,
then A and B touch and are separated.
Transcribed Image Text:You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of +Q whereas 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 in contact are held very far away. For each scenario, give the final charge of sphere D as a whole number fraction of Q. For example, if you decide that the final charge of sphere D is , 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. Scenario 1: A and B touch and are separated, then A and C touch and are separated, then A and D touch and are separated. Scenario 2: A and B touch and are separated, then B and C touch and are separated, then C and D touch and are separated. Qp = Scenario 3: A and D touch and are separated, then D and C touch and are separated, then D and A touch and are separated, then A and B touch and are separated.
Expert Solution
Step 1

Given:-

           When two spheres are touched each others it remains at same potential (V) and the charge rearrange to do the same and equal potential at each of them.

 Potential of sphere surface A : V1

                                             B :V2

Therefore,

                  VA = VB

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