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Originally Posted by wisp There is still a velocity term hidden in the variable I.
I=lamda x v, where lamda is the density of the charge that moves with velocity v. |
is a positional vector analogous to a unit vector. It is just pointing in the direction (its absolute value is constant but its direction changes) of the incremental current
. But please note that the vector velocity becomes just the scalar time rate of change of charge given by
since the change of a static point-charge is a constant, it must the change in charge distribution that in effect gives the charge density you talk about. if there is only one electron making up the current, its time rate of change of charge density is zero but from point to point, its charge density changes from 1,0,0,0,0,0,0,0,0 -- 0,1,0,0,0,0,0,0,0 -- 0,0,1,0,0,0,0,0,0 -- 0,0,0,1,0,0,0,0,0 -- 0,0,0,0,1,0,0,0,0 -- 0,0,0,0,0,1,0,0,0 -- 0,0,0,0,0,0,1,0,0 -- 0,0,0,0,0,0,0,1,0 -- 0,0,0,0,0,0,0,0,1