Tom Donaly wrote:
current, in a wire, is the total current density integrated across
a cross section of the wire. It's a vector, ...

From "Fields and Waves in Communications Electronics", by Ramo, Whinnery,
& Van Duzer, page 239: "It must be recognized that the symbols in the
equations of this article have a *different* meaning from the same symbols
used in Art. 4.06. There they represented the instantaneous values of the
indicated *vector* and scalar quantities. Here they represent the complex
multipliers of e^jwt, giving the in-phase and out-of-phase parts with
respect to the chosen reference. The complex scalar quantities are commonly
referred to as *phasors*, ..."

From the IEEE Dictionary: "The phase angle of a phasor should not be
confused with the space angle of a vector."

You are obviously confusing vectors and phasors.
--
73, Cecil http://www.qsl.net/w5dxp


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