Up: PHY531532 Classical Electrodynamics Links
PHY531 Problem Set 5. Due November 8, 2001
 Solve for the potential and the and
fields for the region
,
in twodimensions (i.e. everything is independent)
of the following two systems. The potential satisfies the boundary
conditions
in both cases. The permittivity as a function of position is
 a.


(2) 
 b.


(3) 
Notice that the volume containing permittivity is the same.
If we use these results to approximate the capacitance
of a parallel plate capacitor where we fill half of the interior
volume with dielectric and ignore edge effects, by what
factor do we multiply the vacuum capacitance in each case?
 If an uncharged, conducting, spherical shell of mass floats with
one fourth of its volume submerged in a liquid dielectric of permittivity
, what must the potential difference between the sphere
and infinity be to make the sphere float half submerged? Assume that
the liquid remains flat in both cases.
 Jackson problem 4.5
 Jackson problem 4.6
 Jackson problem 4.10
 Jackson problem 4.13
In the first edition of his book Jackson left out the word ``average.''
Why is this word necessary to describe the physical system?
Up: PHY531532 Classical Electrodynamics Links