Electromagnetic Induction in a moving DC circuit

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Math Fixxer
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Consider a closed electric circuit consisting of a conducting straight rod connected to a DC voltage source switched on. In steady state the current flowing through the conductor creates a steady magnetic field around it with magnetic flux lines that can be represented as concentric circles "gripping" around the conductor.

My doubt is that if this conductor (or the entire circuit system) is physically moved randomly about, won't there be a variation in the magnetic field around the conductor (although the source of this magnetic field is the current through the conductor itself)? And, if yes, won't this variation in magnetic field around the conductor self induce an emf in the conductor itself (a case of electromagnetic induction)?
 
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JBA said:
What is the question in the problem statement that you are being asked to answer.
Will the physical movement of a dc current carrying conductor cause a self induced emf, when the only magnetic field present is that due to the current in the conductor?
 
Sorry to have pushed for more information; but, it appeared to be a far too simple question not have more to it than it did.

The answer is "no" because, as you surmised the magnetic field travels with the wire.
 
Apply the right hand rule and you will see that the magnetic lines don't cross the wire in any other point.(there will be no self induction). However, if u make a coil and u apply that rule again, u will see that the magnetic field lines cross the rest of the coil windings. In cases like that, when talking about dirrect current, there will be self induced emf in the moments when the voltage is given and when its taken away. Thats also how inductors work. When u apply voltage they create magnetic field and when u remove the voltage the field collapses, inducing emf on the coil and that emf creates current that opposes the lowering of the supply voltage( the inductor stores energy in its magnetic field)