Computer Science
Scientific paper
Apr 1939
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1939natur.143r.601d&link_type=abstract
Nature, Volume 143, Issue 3623, pp. 601 (1939).
Computer Science
Scientific paper
MR. DUNTON'S measurements do not in any way affect the validity either of my equation, the Biot-Savart law, Faraday's law of electromagnetic induction, or the magnetic flux-cutting equation. His error lies in assuming that it is only the magnetic field of the lower fixed portion M1ADM2 of the accompanying circuit which produces a force on the conductor BC; whereas the only part of the magnetic field produced by the whole circuit which does not produce a force on BC is that due to BC itself. If for simplicity we consider a very long narrow rectangular loop of breadth b and conductor radius a, the magnetic force at any distance x from AB and remote from BC or AD is H = 2I/x + 2I/(b-x), and hence if the length of the loop is increased by the amount dy neglecting the internal magnetic field in the conductors. But the magnetic force at a corresponding point on BC is H' = H/2, and the force on BC or on AD is therefore which is Maxwell's formula, with which Mr. Dunton's measurements agreed. He ought actually to have observed a somewhat greater force due to the pressure on the ends of the conductors caused by the constricting effect of the current in the mercury (the `pinch phenomenon' of Carl Hering), which is covered by the same argument; but the above is sufficient to show that his supposed discrepancy has no foundation.
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