- #1
GarageDweller
- 104
- 0
Hi all, new to the forums.
Anyways I had a day off and decided to try something quirky with maxwells equations.
Using the Ampere-Maxwell equation, I tried to solve for the magnetic field that would be created by a <0,0,t> Electric field. (No current and no magnetic materials)
∇ x B = εμ(∂E/∂t)
∇ x B = εμ<0,0,1> (Pardon the bad notation)
∇ x B=< ∂Bz/∂y-∂By/∂z , ∂Bx/∂z-∂Bz/∂x , ∂By/∂x-∂Bx/∂y >
Equating the components, we have:
∂Bz/∂y=∂By/∂z
∂Bx/∂z=∂Bz/∂x
∂By/∂x-∂Bx/∂y=1
Here's the problem, How do I solve this mess?
Anyways I had a day off and decided to try something quirky with maxwells equations.
Using the Ampere-Maxwell equation, I tried to solve for the magnetic field that would be created by a <0,0,t> Electric field. (No current and no magnetic materials)
∇ x B = εμ(∂E/∂t)
∇ x B = εμ<0,0,1> (Pardon the bad notation)
∇ x B=< ∂Bz/∂y-∂By/∂z , ∂Bx/∂z-∂Bz/∂x , ∂By/∂x-∂Bx/∂y >
Equating the components, we have:
∂Bz/∂y=∂By/∂z
∂Bx/∂z=∂Bz/∂x
∂By/∂x-∂Bx/∂y=1
Here's the problem, How do I solve this mess?