Question

In: Physics

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +6q....

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. 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? Incorrect: Your answer is incorrect. (b) What is the total charge on the three spheres before they are allowed to touch each other? Incorrect: Your answer is incorrect. (c) What is the total charge on the three spheres after they have touched?

Expert Solution

Given the initial charges

When two or more identical conductors came into to contact with each other then the total charge on then redistributes equally among them.

1. Spheres A and B are touched together and then separated.

The total charge on A and B is +7q which divides equally among them with +3.5q each.

2. Sphere C is then touched to sphere A and separated from it.

The total charge on A and C now is +3.5q which divides equally among them with +1.75q each.

3. Sphere C is touched to sphere B and separated from it.

The total charge on B and C now is +5.25q which divides equally among them with +2.625q each.

a) The final charge on C is +2.625q.

b) The total charge on the three spheres before they are allowed to touch each other is +7q.

c) The total charge on the three spheres after they have touched is +7q, (Same as intial as the charge is conserved.)

genius_generous answered 2 years ago

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -10q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -10q. Sphere B carries a charge of -3q. 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. 1. How much charge ends up on sphere C? 2. What is the total charge on the...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q. 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...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q. 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...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q. Sphere B carries a charge of +3q. 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...

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B...

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B of radius 20.0 cm carries −2.00 μC of charge. If the two spheres are attached by a very long conducting thread, what is the final distribution of charge on the two spheres? Charge on sphere A (μC)? Charge on sphere B (μC)?

Three metal spheres (A, B, C) all have the same charge +Q on them. The spheres...

Three metal spheres (A, B, C) all have the same charge +Q on them. The spheres have radii of RA = 1m, RB = 2m, and RC = 4m respectively. Rank the magnitude of the electric field at a distance r = 3m in each case. a. EA < EB < EC b. EC < (EA = EB) c. EA = EB = EC d. EC < EB < EA

Suppose there are four identical conducting spheres: A, B, C, and D. In each scenario, sphere...

Suppose there are four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of −?,sphere C starts out with a charge of +Q, and spheres B and D start out neutral. Then, the spheres are touched to each other and separated in the order described. Any spheres not in contact are held very far away. For each scenario, give the final charge of sphere C as a whole‑number fraction of ?. For...

A small metal sphere, A, carrying a charge of +15.0μC is at the origin. An identical...

A small metal sphere, A, carrying a charge of +15.0μC is at the origin. An identical sphere, B, carrying a charge of -18.0μC is at~ xB= 4.0ˆi cm and a third sphere, C,carrying +25.0μC is at~x C= 3.0ˆj cm. (a) Find the total electrical force exerted on sphere A. (b) Let us view sphere A as a probe charge which we are using to measure the field due to spheres B and C. Use your result from part b) to...

You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A...

You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a charge of +?+Q whereas B, C, and D start out with no net charge, and then the spheres are touched to each other and separated in the order described. Any spheres not in contact are held very far away. For each scenario, give the final charge of sphere A as a whole number fraction of ?.Q. For example, if you decide...

Two identical metal spheres A and B are connected by a plastic rod.

Two identical metal spheres A and B are connected by a plastic rod. Both are initially neutral. 4.0×1012 electrons are added to sphere A, then the connecting rod is removed. a)Afterward, what is the charge of A? b)Afterward, what is the charge of B?