IX. Problems in electric convection

The paper contains an investigation into the distribution of electric and magnetic forces which are called into play when some electromagnetic systems are made to move with uniform velocity through the ether. Maxwell’s theory is employed in obtaining the fundamental equations, and it is found that though the electric and magnetic forces, E and H, have generally no potential, still they can be derived from two functions Ψ and Ω; the differential equations satisfied by these functions are obtained. The equations are first employed to obtain the solution for a moving point-charge, and the result is identical with that obtained by Heaviside and J. J. Thomson.