Coil and resistor induction paradox

In my article Faraday’s Law Paradox, I have explained that in a magnetically induced coil the line integral of electric field is paradoxically zero in contraction with Faraday’s law. This paradox has aroused a long discussion which also reveals that the air gap between the coil’s terminals confused the understanding of the paradox. The closed coil below makes this paradox sharper. I will give my solution to this paradox.

Please read the article at

Coil and resistor induction paradox pdf or word

http://pengkuanem.blogspot.com/2015/02/coil-and-resistor-induction-paradox.html

or
https://www.academia.edu/11113117/Coil_and_resistor_induction_paradox