All Problems

Conductors and Dielectrics in an Electric Field

Problem 3.97

Utilizing the solution of the foregoing problem, find the electric field strength \(\mathbf{E}_{0}\) in a spherical cavity in an infinite statically polarized uniform dielectric if the dielectric's polarization is \(\mathbf{P},\) and far from the cavity the field strength is \(\mathbf{E}\).

Reveal Answer
E0=EP/3ε0\mathbf{E}_{0}=\mathbf{E}-\mathbf{P} / 3 \varepsilon_{0}