| 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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