This measurement comes up a lot in my E&M class, in regards to inductance and inductors.
Is there really no conventional term for this?
If not, is there some historical reason for this omission?
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It is change of current in unit time. If there is a current, there will be a magnetic field. If there is a change in current, the possibility is an acceleration of charge which leads to the production of electromagnetic waves. So it could be an electric field and/or magnetic field.