There is a coil exclusively made of superconducting wire. The ends of coil are connected also with superconducting wire. Thus, the circuit is a superconducting closed loop. If a magent is moved in and out of the coil. There is Ø which changes in time t.
1. Will there flow an electric current in the closed loop and if so, how does it change in time?
2. There cannot be an Electric field in the wire so how can there be a current?
Answers
Answer:
1.Current will flow because of induced emf.
2.There may be electric field in electrodynamics.it was absent ONLY for electrostatic.
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Answer:
(1) Yes there will be an electric current in the closed loop , its dependence on time will be purely dependent on the motion of the magnet
I proved my statement by deriving an expression for both the current and the electric field
(2) Due to time varying magnetic field there exists a static electric field, which is non conservative in nature . It forms a closed loop . It is there in free space and not due to the conductor itself , so if you place an electron in the closed loop it'll undergo accelarated motion . So your superconductor wire has lots of "free" electrons hence it'll act as a very good carrier of current
If you took a log of wood ( insulator) in that closed loop of electric field, nothing would happen
If you take an electron it'll undergo accelarated motion
If you take lots of "free electrons" ( superconductor) then current will flow , depending on the motion of the magnet current will either be uniform or non uniform