Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -10q. Sphere B carries a charge of +9q. 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. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q.
(a) How much charge ends up on sphere C?
(b) What is the total charge on the three spheres before they are
allowed to touch each other?
c) What is the total charge on the three spheres after they have touched?
Here , when A and B are touced
charges on them will become equal
qA = qB = (-10q + 9q)/2
qA = qB = - 0.50 q
when C and A are touched
qA = qC = -(0.50q)/2
qA = qC = -0.25q
Now, when C and B is touched
qC = qB = -(0.25q + 0.50q)/2
qC = qB = -0.375q
a) the final charge on sphere C is - 0.375q
b) total charge before touching = -10q + 9 q
total charge before touching = -q
c)
total charge after touching = - 0.375q - 0.375q - 0.25q
total charge after touching = - q
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