Consider three identical metal spheres, A, B, and C. Sphere A carries a charge o

Question

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q. 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) How much charge ends up on sphere C?
Incorrect: Your answer is incorrect. q

(b) What is the total charge on the three spheres before they are allowed to touch each other?
Correct: Your answer is correct. q

(c) What is the total charge on the three spheres after they have touched?

Ive been able to figure out b and c I just cant get a) thank you!

Explanation / Answer

when A touches B both will have charge flow till equilibrium thus will be have=ing 1.5q each now C is touched with A and again charges flow till equilibrium thus A and C has now 0.75q now C is touched to B thus charges flow till equilibrium thus on C theere will be (0.75+ 1.5)q/2 =1.125q

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