Suppose there are four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of -Q, sphere C starts out with a charge of +Q, and spheres B and D start out neutral. 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 the final charge of sphere D 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, +Q, 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. Qp = Qx Scenario 2: A and B touch and are separated, then B and D touch and are separated, then C and D touch and are separated. Qp = Qx 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. QD Qx

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 9OQ: Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good...
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Suppose there are four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of -Q,
sphere C starts out with a charge of +Q, and spheres B and D start out neutral. 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 the final charge of sphere D 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, +Q, 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.
QD = Qx
%3|
Scenario 2: A and B touch and are separated, then B and D touch and are separated, then C and D touch and are separated.
QD = Qx
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.
Qp = Qx
Transcribed Image Text:Suppose there are four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of -Q, sphere C starts out with a charge of +Q, and spheres B and D start out neutral. 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 the final charge of sphere D 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, +Q, 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. QD = Qx %3| Scenario 2: A and B touch and are separated, then B and D touch and are separated, then C and D touch and are separated. QD = Qx 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. Qp = Qx
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