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 +6q. 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? (a) Number 1.5 Units (b) Number 4 Units (c) Number 4 Units

Explanation / Answer

charge on sphere A is +6q

charge on sphere B is -q

total charge on both A and B is +5q

given both are identical

they share the total charge equally between them

now charge on sphere A is 5q/2

charge on sphere B is 5q/2

a)

now charge on A is 5q/2

initaial charge on C is 0(no charge)

now they share the total chrge equally

total charge is (5q/2)+0 = 5q/2

now final charge on sphere A is 5q/4

charge on sphere C is 5q/4

b)

before they are allowed to touch each other = 6q-q+0 = 5q

c)

befroe and after, the total charge should be the same = 5q

you can check it by adding final charges

total charge = (5q/4 )+(5q/2)+(5q/4) = 5q

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