Show that the scalar potential of a point charge moving with constant velocity (Eq. 10.42) can be
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Show that the scalar potential of a point charge moving with constant velocity (Eq. 10.42) can be written equivalently as where R = r - vt is the vector from the present (.t) position of the particle to the field point r, and θ is the angle between R and v (Fig. 10.9). Evidently for non-relativistic velocities (v2
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V(r, 1) = 9 1 47 €0 R√1-v² sin²0/c² V(r, t) = Ө R V 9 19 4л €0 R
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