Force between two straight current carrying wires

Given two long straight conductors, combining the equations for Magnetic force on a wire and Magnetic field from a long straight wire gives

∣ ⃗ 𝐅 \to 2 ∣ = 𝐼 2 ∣ ⃗ ℓ \times ⃗ 𝐁 1 ∣ = 𝐼 2 ℓ 𝜇 0 𝐼 1 2 𝜋 𝑑 = 𝜇 0 𝐼 1 𝐼 2 ℓ 2 𝜋 𝑑

#state/tidy | #SemBr | #lang/en