GhostStudent
Apr17-11, 10:24 AM
1. The problem statement, all variables and given/known data
Hello all;
i am trying to calculate the potential, inside a non conductive sphere of radius equal to a, in a point at a distance r from the center of the sphere.
2. Relevant equations
i know that:
http://i.imgur.com/lLXjw.png
where E and s are vectors;
and that the Eletric field inside the sphere is:
http://i.imgur.com/bLOuE.png
3. The attempt at a solution
since the distance r is:
0<r<a
i changed the limits so that:
http://i.imgur.com/HaUIV.png
but here comes the part were i am stuck:
i found:
http://i.imgur.com/ltF89.png
but the correct answer, so far, should be
http://i.imgur.com/g3KkV.png
which means that the first integral [ http://i.imgur.com/QHClG.png ] should be equal to zero, but i can't seem to understand why
thx in advance.
p.s.:
please tell me if the images are not showing up.
Hello all;
i am trying to calculate the potential, inside a non conductive sphere of radius equal to a, in a point at a distance r from the center of the sphere.
2. Relevant equations
i know that:
http://i.imgur.com/lLXjw.png
where E and s are vectors;
and that the Eletric field inside the sphere is:
http://i.imgur.com/bLOuE.png
3. The attempt at a solution
since the distance r is:
0<r<a
i changed the limits so that:
http://i.imgur.com/HaUIV.png
but here comes the part were i am stuck:
i found:
http://i.imgur.com/ltF89.png
but the correct answer, so far, should be
http://i.imgur.com/g3KkV.png
which means that the first integral [ http://i.imgur.com/QHClG.png ] should be equal to zero, but i can't seem to understand why
thx in advance.
p.s.:
please tell me if the images are not showing up.