Hello, please answer and show all work for the questions below.

1. The conducting metal spheres of different radii each have a charge of -Q.

a)Is the charge on the spheres going to clump together or spread out? Why do you think his?

b) Is the charge most likely to be on the surface of the sphere or distributed inside the sphere? Why do you think this?

c) If the two spheres are connected, will charge flow from the large sphere to the small sphere or the opposite? Why do you think this?

d)If the radius of the smaller sphere is r and the larger sphere is R, what can you say about the electric field at a distance 2R from the center of the smaller sphere compared to the electric field at a distance 2R from the centre of the larger sphere.

2) In a hydrogen atom, a proton and an electron are separated by 5x 10 ^ - 11 m; assume the proton is at the origin and the electron is to the right of the proton. The proton and the same magnitude of charge but opposite polarity (q = 1.602 x10 ^ -19 C) Calculate the electric field intensity at:

a. The point halfway between the proton and the electron.

b. A point that is 2.5 x 10 ^ - 11 m to the right of the proton and 2.5 x 10 ^ - 11 m above the proton.

c. A point that is 1.0m above the proton.

3) Three charges are arranged so each charge is at a vertex of a square of side length 1.0m. The charges are - 1.0C (0m,0m), 2C (1m, Om), -3.0C (1m, 1m) and 4.0C (0m, 1m). Calculate the electric field at:

a. (0.5m, 0.5m)

b. (0m, - 1m)

c. (-1m, 0m)

4) You make a uniform electric field between two parallel plates; if the electric potential difference between the plates is 255V, what final velocity will a proton placed next to the positive plate attain?