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One last comment on motional emf. Some textbooks further confuse
matters by claiming that "a changing magnetic flux produces an
electric field." (For example, that's the title of Sec. 29.7 of
Giancoli, Physics for Scientists & Engineers, 3rd ed.)
would be correct if it said "magnetic field" not "magnetic flux".Giancoli does say this correctly in the last sentence of Sec. 21-4
The erroneous chain of logic is:
-time derivative of magnetic flux = emf = line integral of electric field
There is no induced (nonconservative) electric field in the case of
motional emf (in the lab frame).