Work required to get current going

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The discussion centers on the relationship between work (Wm) and back electromotive force (emf) in the context of steady current. It is established that when the current is steady, the back emf is zero, resulting in Wm being zero as well. However, the presence of magnetic field (B) due to steady current indicates that there is still energy stored in the system. The inconsistency arises from the transition from zero current to steady current, which requires a changing current to store energy in Wm, yet once steady, no additional work is stored.

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Image from Griffith, ED, 4th ed

Wm is the work needed against the back emf. If the current is steady (meaning not changing w.r.t. time) then there is no back emf. Hence, Wm = 0. But, B due to steady current is not 0. So, R.H.S is not zero. Could anyone please resolve this inconsistency?
 
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to get that state of steady current from 0 current at some point you had to have changing current so that energy is now stored in the wm but of course now that is steady no addition wm is being stored.
 
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