- #1
gulsen
- 217
- 0
[tex]\mathbf \nabla \times (\mathbf E + \mathbf v \times \mathbf B)[/tex]
pluggin stuff from Maxwell equations
[tex]= -\frac{\partial B}{\partial t} + \mathbf v (\mathbf \nabla \cdot B) - \mathbf B (\mathbf \nabla \cdot v)[/tex]
Since
[tex]\frac{\partial}{\partial t}(\mathbf \nabla \cdot \mathbf r) = 0[/tex]
it's
[tex]= -\frac{\partial B}{\partial t}[/tex]
which is not zero in general. Or am I doing something wrong??
Can this be the field is also holding energy?
pluggin stuff from Maxwell equations
[tex]= -\frac{\partial B}{\partial t} + \mathbf v (\mathbf \nabla \cdot B) - \mathbf B (\mathbf \nabla \cdot v)[/tex]
Since
[tex]\frac{\partial}{\partial t}(\mathbf \nabla \cdot \mathbf r) = 0[/tex]
it's
[tex]= -\frac{\partial B}{\partial t}[/tex]
which is not zero in general. Or am I doing something wrong??
Can this be the field is also holding energy?
Last edited: