I saw this setup in a book. Two hemispheres separated by a small distance, one with -Q charge and one with +Q charge. The hemispheres are setup as if I took a sphere and cut it in half and moved one up slightly, and the one on top has the +Q charge. The direction Of the E field right in the middle of the 2 hemispheres should be pointing straight down right? The E field points from plus to minus. I was thinking of it as a hemispherical capacitor. And also I was wondering if the E field outside the 2 hemispheres would be zero because the charge enclosed would be zero, but its not evenly distributed. This is not home work. Any help will be appreciated.