Electric dipoles and a magnetic dipoles

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Sofi Michaelian
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Is there any interaction between a perfect magnetic dipole and a perfect electric dipole, both at rest?
What abut real dipoles?
What does QED say about this?
 
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I'll let you keep working on "perfect" dipoles,

But,
Real magnetic dipoles are particles with charge or are made up of particles with charge, and charge definitely interacts with an electric dipole.
Real electric dipoles are usually made of two charges separated by some distance. Some theories predict an intrinsic electric dipole moment, but so far it's been too small to measure. All charged particles have spin, and therefore magnetic moment.
So you can't really have one without the other.