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In electromagnetic field theory, we talk about "magnetizing force". Units of magnetizing force is A/m (Amperes per meter). It's obvious that units of force is Newton. So, is amperes per meter equal to Newton?

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Amps per metre is Magnetic field or Magnetic field strength. Amps are actually the current flow x number of turns resulting in the more preferable: -

H = (ampere turns) per metre

Sometimes H is described as magnetizing force.

See this table linked in the deleted answer that I sneakily copied: -

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Magneto motive force is ampere turns and neither have the units of newton.

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