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“The field E of such a capacitor is
uniform between the plates ….” [Paul
Fishbane, P M Fishbane, Stephen Gasiorowicz, S Gasiorowicz, Stephen Thornton,
S T Thronton] |
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"Physics for Scientists and Engineers …." By
Paul M Fishbane, University of Virginia; Stephen Gasiorowicz, University of
Minnesota; Stephen T Thornton, University of Virginia, pub. Prentice-Hall
1996, 1993 p826 The Maxwell
Displacement Current There is a logical flaw in Ampere's law when there is a
time dependence in the current. …. When the current deposits charge on the plates of a
capacitor. …. P827 The field E of such a capacitor is uniform between
the plates …. Figure 30-30
has a uniform field P828 …. The electric field is constant …. |
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It is permissible to point out "a logical flaw in
Ampere's law", because Maxwell's career is over, and his pension in not
under threat. The same does not apply to logical flaws in the writings of
Fishbane, Gas and Thornton. The logical flaw which I point out, that they
have omitted to consider whether, "when the current deposits charge on
the plates of a capacitor", it causes a magnetic field as it travels
across the plate from the input lead in order to make "The field E of
such a capacitor …. uniform between the plates". Of course, should they listen to me, and actually hear
that electric charge/current entering the capacitor plate then travels at
right angles across the plate, they would have to (1) consider whether
Maxwell and Heaviside realised that, and (2) whether displacement current
still serves a purpose. [The lateral current satisfies Gauss's Law without
any leap of Maxwell genius, Displacement Current.] If not, they would have to
do something about the section's title; The
Maxwell Displacement Current Ivor
Catt 11nov03 @@@@@@@@@@@@@@@@@@@@@ The significance of this document 1 This document demonstrates convincingly that nobody
considered the problem of how electric charge entering a capacitor plate at
one point was suddenly uniformly spread over the surface of the plate.
Maxwell, textbook writers and everyone else did not merely ignore the
spreading out of the charge as a simplification. They betrayed their
ignorance when they gratuitously stated, or implied, that the charge on a
capacitor plate was uniform. 2 With less disastrous results, the whole profession has
been misled by the traditional, misleading way of drawing a battery as in
Figure 31 in http://www.ivorcatt.com/2_4.htm
, as I noticed after a century. The reality is as in Figure 33. The whole profession has been misled by the traditional,
misleading way of drawing a capacitor as in Figure 26 in http://www.ivorcatt.com/2_2.htm .
This led to nobody for a whole century (until my co-author Malcolm Davidson)
noticing the absurdity of the fashionable model for a transmission line,
modelling a transmission line in terms of itself, see http://www.ivorcatt.com/2_2.htm
figures 26, 27. A transmission line is identical to the real capacitor as
drawn in Figure 27. The third, and worst, disaster was the effect on Maxwell
and his galaxy of sycophants, resulting in Maxwell’s so-called “leap of
genius” (according to Heaviside) in inventing “Displacement Current”, which
would have been unnecessary had he (or Heaviside, who had a much better
chance) thought of drawing a capacitor more clearly, with wires attached to
one end rather than to the centre. Ivor
Catt 30oct03 |