The half-plane z Land the half-plane z > 0 has dielectric constant R . Embed a

The half-plane z L and the half-plane z > 0 has dielectric constant κ_R. Embed a point charge q on the z-axis at z = − d. The text computed the force on q to be

(a) Use the stress tensor formalism to show that the force on the z = 0 interface is equal in magnitude but opposite in direction to F_q.
(b) Show that the Coulomb force on the interfacial surface polarization charge density, does not give the correct force.

Transcribed Image Text:

Fq = - KR 1. 4лEL 4d² KL + KR 1 q² KL - KR