Question

starting from ampere’s law and the constitutive relationship between flux density and field intensity, derive an expression relating current to flux density.

Answer 1

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.