A very large metal sheet has charge moving over it. The sheet has a surface charge density of sigma= 5x10^-6 C/m^2. The charges on the sheet are moving at an average speed of vs = 0.0001 m/s. A proton is located a distance D = 10 cm from the sheet. The proton is headed straight at the sheet with a speed of ve = 10000 m/s.
a) What is electric field above the sheet at the point the proton is at (magnitude and direction)?
b) What is the surface current density of the sheet?
c) What is the magnetic field above the sheet at the point the proton is at (magnitude and direction)?
d) What is the electro-static force on the proton (magnitude and direction)?
e) What is the magnetic force on the proton (magnitude and direction)?
f) How does the electro-static force compare to the magnetic force (which is bigger and by how many times bigger is it)?
g) Approximately how close will the proton get to the plate? (is there a force you can neglect?)