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Current loops and electric dipoles

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Hello Physics enthusiasts

Imagine an infinitesimal small current loop where the current can run clockwise or counterclockwise at frequency v. I am trying to find a linear combination of the two(current loops) which creates the same electric field pattern (far from the dipole) as a very small current running on a very small line(electric dipole).

In principle it should be possible but I am not sure how to tackle the problem. Could you please help me with this?

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