Magnetization current is a steady current?

[Laserpower]

In developing Mazwell's equations in media, we considered the total charge as consisting of free and bound charges and currents, so that

ρ_tot = ρ_f + ρ_b
and
J_tot = J_f + J_b

The bound current maybe furhter divided into magnetization and polarization currents

J_b = J_M + J_P

,expressed in terms of the magnetic and electrical dipole moments per unit volume, respectively. From the definitions of the various charges and currents as given in your text and notes:

a) show that the magnetization current is a steady current
b) show that the bound charge is conserved
c) from the above and the experimental fact that the free charge is conserved show that the total charge is conserved.

Can someone help me get started on these? I would really appreciate it.

Thanks,

 

[Laserpower]

Nevermind I got it. It was simple, just didnt think about it.