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- 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?