Phys 200B - HW1

Due Monday 10-Jan-05 08:00 to Daniel Hale

 

1.      Given a region of space in which the electric field is everywhere directed parallel to the x-axis, prove that the electric field is independent of the y and z-coordinates in this region. If there is no charge in the region, prove that the field is also independent of x.

 

2. The screened Coulomb potential

                                         

                                         

 

      commonly occurs in conducting media. Calculate the corresponding electric field and charge density.

 

  1. Problem 5.6 in Jackson (Hint: consider the hole to be a cylinder carrying a current density in the opposite direction).