Forces and fields: magnetic dipole vs electric monopole

samedi 30 août 2014

Two electrons, they have their electric fields and magnetic dipole moments. Their electric field is proportional to 1/r^2, and electric force is also proportional to 1/r^2.



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However, their magnetic dipole field is proportional to 1/r^3, and magnetic force to 1/r^4. How does 1/r^3 come about and why it turns into 1/r^4 for the force equation?





If electric force is proportional to 1/r^2 and magnetic dipole force to 1/r^4, does that mean if two electrons come close enough together this magnetic dipole force could overcome their electric repulsive force?





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