Weber?s force is shown to have a significant degree of compatibility with Maxwell?s equations. Weber?s force can give rise to the familiar expressions for Faraday?s law, vector potential, and mutual inductance.
A changing current in a long solenoid induces a current in an encircling wire loop, even though there is neither a magnetic field nor an electric field at any part of the wire. This mysterious result is commonly explained by the abstract concepts of magnetic flux or the magnetic vector potential A. We show that the correct result can be obtained from more fundamental concepts, viz., Weber's force.