PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION

     This problem is due at your first recitation meeting after Mon 02/07.
     The problem should be written on a single sheet of paper (front and back), 
     or if multiple sheets are used, staple them together.  For full credit,
     the work must be neat, with clearly labeled diagrams.  The labels must
     be in BOTH words and symbols.  For each part, you must BRIEFLY explain
     your strategy in words, as well as neatly showing your physics equations
     and math, with proper units. 

               Problem from Fishbane, Gasiorowicz, and Thornton 
               (2nd edition) Chapter 24 (10 points)
               
               38.  Two large, thin, metallic plates are placed
                    parallel to each other, separated by 15 cm.  The
                    top plate carries a uniform charge density of
                    24 microC/m^2, while the bottom plate carries a
                    uniform charge density of -38 microC/m^2.  What 
                    is the electric field (magnitude and direction) 
                    (a) halfway between the plates? (b) above the 
                    two plates?  (c) below the two plates?  
                    (d)  What are the surface charge densities on 
                    the top and bottom surfaces of both plates?