magnet formulas
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The Law of Biot Savart
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This handy little law is the foundation upon which most of the air core
coil formulas in this site are based.
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The current element dl on a current filament with current i
contributes a magnetic field, dB, in a direction normal to
the plane formed by dl and the vector r.
The good news is that by solving this integral for an arbitrary
configuration of current filaments (like a coil, or set of coils) you
can compute the magnetic field vector at any point in space.
The bad news is that there is no closed solution to this integral for
most interesting configurations of current filaments and vectors
r.
Oh well.
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