Boundary conditions at an interface
Region I and Region II are non-conductive (sigma = 0) and of permittivity epsilon1 and epsilon2, respectively. Given the field I=???+2 + 3 at the Region I side of the interface, decide EII and DII on the Region II side of the interface.
1. Find DII and EII on the curved surface (rather than on the flat base) just outside an inverted cone of angle theta?. The surface charge density is rho_s = 0.
2. Discover EII and DII just outside a sphere of radius R. The surface charge density is rho_s = 0.
3. If instead of being a dielectric, Region II is a perfect conductor, what is the surface charge density for parts a. and b?