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

ID: 2133937 • Letter: C

Question

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +5q. 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?


with units plz

Explanation / Answer

when A and B toched

QA = QB = (5q-q)/2 = 2*q

when C and A toched

QA = QC = 2q/2 = q

when c and B toched

QC = QB = (2q+q)/2 = 1.5*q

a)QC/q = 1.5

b)
QA/q = 5
QB/q = -1
QC/q = 0

c)QA/q = 2
QB/q = 1.5
QC/q = 1.5