Electricity and Magnetism · Problem 5.4

THE MAGNETIC FIELD — Edward Purcell & David Morin

Physics — E&M · divergence-of-e

Problem

Divergence of

E

** ((a)) Show that the divergence of the

\mathbf{E}

field given in Eq. (5.15) is zero (except at the origin). Work with spherical coordinates. ((b)) Now show that the divergence of

\mathbf{E}

is zero by using Cartesian coordinates and the form of

\mathbf{E}

given in Eq. (5.13). (Careful! There's something missing from Eq. (5.13).)