# Capacitor with two dielectrics.

1. Jun 18, 2011

### Lavabug

1. The problem statement, all variables and given/known data
A parallel-plate capacitor contains two dielectrics of different electric permitivities and conductivities 1 and 2, respectively (they are separated by a line with the horizontal). A voltage V is applied to the terminals, find:
The free and polarization charge densities.
The resistance and capacity, in terms of the given parameters.

3. The attempt at a solution
Not sure how to answer the first question, I think they should be zero but I'm not sure why. I can see why the free charge density is zero in a dielectric (no free motion of electrons) but not polarization density (when a voltage is applied dielectric will become polarized).

For resistance I'd just use ohm's law and rewrite I as the flux integral JdS, and rewrite J in terms of the conductivity and electric field, but should I add the two conductivities?

Same goes for the capacity, I could just use the expression for a parallel plate capacitor, but I'm not sure if I'd need to add both permitivities or do something else.