Hi everyone, this is not a homework, I'm actually dealing with the case in real life here. If this turns out to be standard text book stuff then I'm sorry as I haven't studied this before. Suppose a plate capacitor has two different dielectric material layer sandwiched in it. Then a fixed voltage is applied on it. The simplest consideration would be that E field is constant everywhere despite the different dielectric constant of the two layers, this was my first thought. But it didn't feel right as I consider the energy, since system tends to minimize energy against fixed boundary condition. So with the same E-field strength, the material will store more energy with a higher dielectric constant. Minimizing the energy will yield that the higher dielectric constant material will have a smaller voltage drop across it, is this result right?