Chapter 19 Maxwell,s Equations The Total Current density J The curl of b Maxwell's Equations Maxwell' s equations in Integral Form
Chapter 19 Maxwell’s Equations ◼ The Total Current Density J ◼ The Curl of B ◼ Maxwell’s Equations ◼ Maxwell’s Equations in Integral Form
So far we have obtained Maxwell s four equations + V·E V·B=0: OB VXE at VB=oJf + Je);(steady Generally?
19. 1 The Total Current Density J There are three kinds of current densities as follows The free current density Jf 2. The displacement current density OD 00P =(0E+ ot at at 3. The equivalent current density in magnetic ma terial VⅹM
Thus the total current density is the sum t=Je+(0ob⊥OP 0 +V×M 0t"0t 0 E Jm+ at where Jm is the volume current density in matter m=J× +V×M at
19.2 The Curl of b The fourth Maxwell equation V×B=0{Jr+Je);( stead should be generalized with the currents Jf Jere placed by the total current ji V×B a oP =0(Jf+0aE+ at +VM) 0 Jm+c0e or. rewritten as V×B-00aE=10Jm