2018-15.md

course	course_year	question_number	tags	title	year
Electromagnetism	IB	15	IB 2018 Electromagnetism	Paper 4, Section I, $7 \mathrm{C}$	2018

Show that Maxwell's equations imply the conservation of charge.

A conducting medium has $\mathbf{J}=\sigma \mathbf{E}$ where $\sigma$ is a constant. Show that any charge density decays exponentially in time, at a rate to be determined.