# Q on current carrying wire

Hello everyone,

The force on a current-carrying wire in a magnetic field is shown in many
books (F=Bil). It is usually depicted as a wire between poles of magnet all
in a medium of air. I was wondering if the linearity of F=Bil still holds in
a non-linear magnetic environment?

For instance, if the wire was threaded through a block of mild steel and
field applied to the block, a small current will still experience a force of
Bil, but what happens when the current is very high and forces the steel
well into saturation. Would a further increase in current produce the
expected linear increase in force?

F=Bil does not directly mention the field generated by the wire (maybe its
implied). However in all the field diagrams I have seen of a wire in this
state, it has been the field of the wire that has caused a distortion of the
applied field which results in the force. If the field of the wire is
important to this process, will the linearity of the surrounding environment
(and the state of its saturation) have an effect on the outcome?

Any help to understand this and any referal to references would be
appreciated.

regards Ian BBB

.

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