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if the curl of E =0, then E = -grad(potential), and it's

possible to calculate the voltage between two points

as the line integral of E over some path.

When there's a time changing magnetic induction, the

curl of E = -d(B)/dt. so strictly speaking the idea of voltage

gets a little unclear.

I don't have a lot of intuition about curl and the curvature

of electric field. It seems to me that it's possible to express

an electric field in a power series of (scale_length*frequency),

but I'd like to know if there's a way to calculate the curvature of

electric field and use that to modify the idea of voltage.

I think this might have application to calculating an equivalent

circuit description of a physical device from a field solver