- #1
may de vera
- 6
- 0
Let respectively b = (b1, b2, b3) and e = (e1, e2, e3) denote the magnetic
and electric field in some medium. They are governed by Maxwell’s equations which look as follows:
(0.1) [tex]\partial[/tex]te = curl b
(0.2) [tex]\partial[/tex]tb = − curl e
(0.3) div e = 0
(0.4) div b = 0.
Show that each bi and each ei satisfies the wave equation
([tex]\partial[/tex]t2 - [tex]\Delta[/tex]) [tex]\varphi[/tex]=0
and electric field in some medium. They are governed by Maxwell’s equations which look as follows:
(0.1) [tex]\partial[/tex]te = curl b
(0.2) [tex]\partial[/tex]tb = − curl e
(0.3) div e = 0
(0.4) div b = 0.
Show that each bi and each ei satisfies the wave equation
([tex]\partial[/tex]t2 - [tex]\Delta[/tex]) [tex]\varphi[/tex]=0