Jump to... estion 7 of 14 Ma Sapling Learning You have four identical conducting
ID: 1874758 • Letter: J
Question
Jump to... estion 7 of 14 Ma Sapling Learning You have four identical conducting spheres: A, B, C, and D. In each scenario below, sphere A starts with a charge of +Q, while 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 C as a whole number fraction of Q. For example, if you decide that the final charge of sphere C 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. 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 .0 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 O Previous Give Up & View Solution e Check Answer 0 Next -el Ext- 21 0F3 OOD F FS F7 FR 19Explanation / Answer
When two spheres are touched charge will flow from one sphere to the other untill the potential of both the spheres become equal.Since the spheres are identical , both the spheres should have equal charges so that the electrostatic equilibrium is achieved (same potential).
Scenario 1 :
A and B are touched : Half of the charge from A flows to B.
After seperation : Qa = Q/2 , Qb = Q/2
A and C are touched: Half charge of A flows to C
After seperation: Qa =Q/4 and Qc = Q/4
Hence, Qc =1/4 Q
Scenario 2:
A and B are touched and seperated : Qa = Q/2 , Qb = Q/2
B and C are touched and seperated : Qb = Q/4 , Qc = Q/4
C and D are touched and seperated : Qc =Q/8 , Qd = Q/8
Hence, Qc =1/8 Q
Scenario 3 :
A and D are touched and seperated : Qa = Q/2 , Qd = Q/2
D and C are touched and seperated : Qd = Q/4 , Qc = Q/4
D and A are touched and seperated : No effect on Qc
A and B are touched and seperated : No effect on Qc
Hence,
Qc = 1/4 Q
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