- Homework Statement
- I have to prove the Green's reciprocity theorem about the Electric field, electric potential, and magnetic field.
- Relevant Equations
- Intgral over all space J_2 cross B_1 = -Integral over all space J_1 cross B_2
I have to prove three equations above.
For first two equations, I've been thought and made reasonable answer by using a definition of the electricfield.
However, for third, I can't use a definition of a magnetic field due to the cross product
Like J_2 X J_1 X (r_2 - r_1).
I think three of 'em are kinda related to Newton's third law of lorentz force.
Does anyone know about the proof?
Or would you think you can prove these?