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

Question

Consider three identical metal spheres, A, B, and C. Sphere A carries a change of +6g. Sphere B carries a charge of -9g. Sphere C carries no net charge spheres A and B are touched together and the 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. How much charge ends up on sphere C? What is the total charge on the three spheres before they are allowed to touch each other? What is the total charge on the three spheres after they have touched?

Explanation / Answer

initially Qa = 6q

Qb = - 9q

Qc = 0

Situation after touching A and B and then saperating

Qa = 6q - 9q/2 = - 1.5 q

Qb = 6q - 9q/2 = - 1.5 q

Qc = 0

Situation after touching A and C and then saperating

Qa = - 1.5q + 0 /2 = - 0.75 q

Qb = - 1.5 q

Qc = - 1.5q + 0 /2 = - 0.75 q

Situation after touching B and C and then saperating

Qa = - 1.5q + 0 /2 = - 0.75 q

Qb = - 1.5 q - 0.75 q /2 = - 1.125 q

Qc = - 1.5 q - 0.75 q /2 = - 1.125 q

a)

Qc = - 1.125 q

b)

Total charge = Qa + Qb + Qc = 6 q - 9q + 0 = - 3q

c)

Total charge = Qa + Qb + Qc = - 0.75 q - 1.125 q - 1.125 q = - 3q

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---