Question

please solve it as fast as possible

Example: Find the displacement current density associated with the magnetic field (assume zero conduction current) H = A1 sin(4x) cos(wt - Bz) az + A2 cos(4x) sin(wt - Bz) az? son 1 А" В І

Answer 1

Solution - Given :- Ħ - A, Sin Yu Cos (wt-B2) @ + ACosuu Sin(63t-Bz)? From Manwell equation :- ř x Š = MJ +Mto de 6 T: Current density Tro ( By assuming zelo conduction Cesent) tode do diéplacement curent dennity (Because, B = 6ot ego becomes :- Here It - at Mo DD 7 x B = Moto JE dt ZX È D D at + وار As B = M. TXH = 20 dt So Now xй - ay a d an az | A, Sinun Cerseot-fr) 0 A, Costu Sin (wt-82) J x H an C (4 Cover Simpel-pa) - 01-2/3: (, arunu Sulat-es) - A, Sinux Cos (wt-fo) -ą (0-(ASmom Cos(ut-ps)

*** - [-6]9.9(-4,1W sum Solution - A, Smum (-1.5m (ut-R2)[0] -[-A, (o)] az Fx = (0)94 +3f 4 4. Sinun Binbat-pe) #RA, Sin 4* Sur (wst-pe)] +(o) az 5x = 1099 + Sinun Sin (ət-R-) (4A +BAR] ay +()2 Fromeg. ② and ③ displaumeut culteut density Sin un Sin (rot-B2) [4.Az +BA, [BAT +442] Smyn Sin (wot - Bz) ay A,] ay do olo әр at