Interface conditions in layered structures. Two flat dielectrics of thickness d and dielectric constant ε1 and ε2 are placed on the two sides of a conducting sheet of thickness t. The electric field in free space to the left of the materials is given and is normal to the surface of the dielectric, as shown in Figure 4.72.
(a) Calculate the electric field intensity everywhere in space.
(b) What is the potential difference between the left and right surfaces (the potential difference on the three layers).