Consider three identical metal spheres, A, B, and C. Sphere A carries a charge o
ID: 1410726 • Letter: C
Question
Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched?
Explanation / Answer
Ai = +9q
Bi = -q
Ci = 0
After A and B touched together
A1 = +4q
B1 = +4q
C1 = 0
C and A is touched after that
A2 = +2q
B2 = +4q
C2 = +2q
Now C and B touched
A3 = +2q
B2 = +3q
C2 = +3q
1.
ratio of
C/q = +3
B.
ratio of
(Ai + Bi + Ci)/q = (+9 + 0 - 1)
total charge initially/q = +8
C. ratio of
(A3 + B3 + C3)/1 = (3 + 3 + 2)
Total charge/q = +8