Engineering and Applied Sciences Applied Physics 216 Lecture 12: Lecture 12
Document Summary
Ap 216 lecture 12 dipoles and the connections with macroscopic. Charge density represents a continuous distribution of charges by a scalar function . The electrostatic potential outside a small volume v at x " containing electric charges and dipoles is x x t v x n x p x t. 4 where the second term in the integral is the external electrostatic potential from a dipole with moment p v . Integrating gives x t x x t x x t x x t x. P dv dv dv x x x x x x. 24 and (cid:149) p looks like a charge density. That is often called pol for polarization charge density. was localized so that when the gauss law is. The above derivation assumed that p applied to the divergence term it vanishes. Thus either the boundaries of the integration lies outside the dielectric body, or inside the body, where charge crosses the boundary. and no polarization.