When a block made of a dielectric material is placed in an external uniform electric field EEE such that two opposite sides of the block are perpendicular to EEE, the magnitude and direction of the net electric field inside the material can be determined using the concept of polarization.
Dielectric materials are characterized by their ability to become polarized in the presence of an electric field. Polarization refers to the alignment of the electric dipoles within the material. The net effect of polarization is the creation of an electric field that opposes the external field within the material.
The magnitude of the net electric field inside the dielectric material, denoted as EnetE_{ ext{net}}Enet, is given by the equation:
Enet=EϵrE_{ ext{net}} = frac{E}{epsilon_r}Enet=ϵrE
where EEE is the magnitude of the external electric field, and ϵrepsilon_rϵr is the relative permittivity (also known as the dielectric constant) of the material. The relative permittivity represents the degree to which the material can be polarized compared to a vacuum (which has a relative permittivity of 1).
The direction of the net electric field inside the dielectric material is opposite to the direction of the external field. In other words, it points in the opposite direction of EEE.
Therefore, if the external electric field EEE is directed towards one side of the block, the net electric field EnetE_{ ext{net}}Enet inside the dielectric material will have the same magnitude as EEE but will be directed in the opposite direction.
It's worth noting that this description assumes an idealized scenario of a uniform electric field and a homogeneous dielectric material. In practical situations with more complex geometries or non-uniform fields, the behavior of the electric field inside the dielectric material can become more intricate.