Introduction to Electrodynamics · Problem 4.14

Electric Fields in Matter — David J. Griffiths

Physics · bound-charges-total-charge

Problem

When you polarize a neutral dielectric, the charge moves a bit, but the total remains zero. This fact should be reflected in the bound charges

\sigma_b

and

\rho_b

. Prove from Eqs. 4.11 and 4.12 that the total bound charge vanishes.