I was wondering if Maxwell equations conserved energy. Jackson is not really convincing about the whole Poynting theorem (neither currently google found articles which just assume a bunch of stuff).
Does anyone have an insightful/intuitive explanation or should I just take it for granted?
Rotational field means the curl is different than $0$.
Conservative force needs $\nabla$x$\vec{F} = 0$
Is energy conserved?