Final answer:
Ampere's law relates the line integral of the magnetic field around an electric current to the current itself. It states that the line integral of the magnetic field around a closed loop is equal to the current passing through any surface whose boundary is the loop itself. This relationship can be mathematically expressed as ∮B · dl = μ₀I.
Step-by-step explanation:
Ampere's law relates the line integral of the magnetic field around an electric current to the current itself. In other words, it shows how the magnetic field created by a current-carrying wire is related to the current flowing through the wire.
Ampere's law states that the line integral of the magnetic field around a closed loop is equal to the current passing through any surface whose boundary is the loop itself. This can be mathematically expressed as:
∮B · dl = μ₀I
Where ∮ represents the line integral, B is the magnetic field, dl is an element of the path around the loop, μ₀ is the permeability of free space, and I is the current passing through the surface bounded by the loop.