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 -7q. 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?

Explanation / Answer

A ----> -2q

B ----> -7q

C ----> 0

now

sphrere A and B are touched together

then thier charge distribution must be uniform

A ----> -4.5q

B ----> -4.5q

C ----> 0

now

sphrere C and A are touched together

then thier charge distribution must be unifrom

A ----> -2.25q

B ----> -4.5q

C ----> -2.25q

now

sphrere C and B are touched together

then thier charge distribution must be uniform

A ----> -2.25q

B ----> -3.375q

C ----> -3.375q

a)

charge on sphere C is -3.375q

b)

here chareg obeys law of conservation

hence at any point total chareg on three sphere are same

total charge=-9q

c)

total charge=-9q

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