If the applied "'E "'field is uniform and oriented along the length of the conductor as shown in the figure, then defining the voltage V in the usual convention of being opposite in direction to the field ( see figure ), and with the understanding that the voltage V is measured differentially across the length of the conductor allowing us to drop the ? symbol, the above vector equation reduces to the scalar equation:
22.
They were also apparently misled by one of the fringe science articles above ( which Reddi linked to from the James Clerk Maxwell page, again without any warning to the reader that the link was to an essay not peer-reviewed and very far from the mainstream ) into writing " A few people claim that Maxwell's original ( quaternion ) equations describe certain physical effects that cannot be explained by the simplified vector equations . " As I explained, this is false . . . even the speculative essayists are not using Maxwell's " original " quaternion equations . ( It's not hard to be misled . . . the speculative article is titled " Maxwell's equations : A Brief Note ", so if you know Maxwell used quaternions it's easy to jump to the conclusion that they are the same formulation . . . especially if, like Reddi did, you link without explanation on a page where people might reasonably expect only authoritative references .)
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