| | The Electric Potential of a Moving Charge |
 | | This conception of electric potential changed in the 1880’s when Ludwig Lorenz suggested that the potential at the origin at time t should be due to all the charges not on the instantaneous time slice of the origin, but on the past light cone of the origin, as illustrated below. |
 | | Since the potential is essentially proportional to the inverse of the distance, it might seem counter-intuitive at first that there is a component of the derivative that drops off as the inverse distance, but this component is due to the scaling effect of the retarded velocity-dependent factor in the expression for the potential. |
 | | The outer circular loci represent the lowest potential, generated by the charge when it was futhest in the past, at the x value of the left-most end of the yellow projected path, which is the center of the outer circles. |
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