Magnetic force on a wire

A wire with a current $𝐼$ flowing through it experiences a Lorentz force given by

⃗ 𝐅 = \int (𝐼 𝑑 ⃗ ℓ \times ⃗ 𝐁)

which in the case of a straight wire of constant current in a uniform magnetic field simplifies down to

⃗ 𝐅 = 𝐼 ⃗ ℓ \times ⃗ 𝐁

#state/tidy | #SemBr