Formula: Current-Carrying Wire in Magnetic Field Magnetic force Electric current Length Magnetic flux density (B-field)
$$\class{green}{F} ~=~ \class{blue}{I} \, L \, \class{violet}{B}$$
$$\class{green}{F} ~=~ \class{blue}{I} \, L \, \class{violet}{B}$$
$$\class{blue}{I} ~=~ \frac{ \class{green}{F} }{L \, \class{violet}{B} }$$
$$L ~=~ \frac{ \class{green}{F} }{\class{blue}{I} \, \class{violet}{B} }$$
$$\class{violet}{B} ~=~ \frac{ \class{green}{F} }{\class{blue}{I} \, L}$$
Magnetic force
$$ \class{green}{F} $$ Unit $$ \mathrm{N} $$
The magnetic part of the Lorentz force acts on a current-carrying conductor when it is in the magnetic field. This formula is only valid if the magnetic field direction is exactly perpendicular to the current direction.
Electric current
$$ \class{blue}{I} $$ Unit $$ \mathrm{A} $$
Electric charge per unit time flowing through the wire.
Length
$$ L $$ Unit $$ \mathrm{m} $$
The longer the wire through which a current flows, the greater the Lorentz force on that wire.
Magnetic flux density (B-field)
$$ \class{violet}{B} $$ Unit $$ \mathrm{T} $$
Magnetic flux density indicates how strong the magnetic field is in which the wire is located. The magnetic field can be generated, for example, with another current-carrying wire that is brought close to the first wire.