George Frederick Charles Searle, On the Steady Motion of an Electrified Ellipsoid (1897)
“ When the sphere is in motion it produces the same effect as a uniformly-charged line whose length bears to the diameter of the sphere the same ratio as the velocity of the sphere bears to the velocity of light. ”
George Frederick Charles Searle, On the Steady Motion of an Electrified Ellipsoid (1897)
“ It appears, however, that at the velocity of light any distribution on any surface is in equilibrium. For the value of at any point near a moving point-charge is { (43) } , and this vanishes when (so that ) , even when . Thus the value of for a point-charge vanishes, and the value of for any distribution being derivable from that for a point-charge by integration, it follows that has the constant value zero everywhere. Hence the charge is in equilibrium however it may be distributed. ”
George Frederick Charles Searle, On the Steady Motion of an Electrified Ellipsoid (1897)
“ Hence by (14) and (16) the electric force is always tangential to the conic (15) . But this conic has exactly the same equation as the equilibrium surfaces. Thus the single equation (13) represents both the equilibrium surfaces and the lines of electric force. If any point be taken, there are two values of which will satisfy (13) considered as a quadratic in . One value corresponds to an ellipsoidal equilibrium surface; the other to a hyperbolic surface whose lines of intersection with planes passing through the axis of are the lines of electric force. ”
