You have four identical conducting spheres: A. B, C, and D. In each scenario bel
ID: 1422588 • Letter: Y
Question
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 A as a whole number fraction of Q. For example, if you decide that the Anal charge of sphere A 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. 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.Explanation / Answer
When we touch two conducting metals. There charges are distributed equally to the metals.
Scenario 1.
A and B are touched. Now, each of them has a charge of Q/2.
Now, A is touched to C.
Therefore, the new charge of A is Q/4.
Again, when we touch it to D, the charge of A becomes Q/8.
The answer is 1/8.
Scenario 2.
Tere, A is touched initially to B, and then is left alone. Therefore, the charge on A is Q/2.
The answer is 1/2.
Scenario 3.
A and D are touched. So, Charge on each is now Q/2.
Now, D is touched to C. Which means Charge on A is Q/2, the charge on D and C is Q/4 each. Now, D and A are touched. Which means charges will be distributed equally. Which means, the new charge of A and D is (Q/2 + Q/4)/2. Which is 3Q/8 each. Now, A and B are touched, which means, new charge on A is 3Q/16.
Therefore, the answer is 3/16.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.