The Theory of Electricity

Cover The Theory of Electricity
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The result is easily deduced that R 2 ca rr = 21 log -^-, wherein R l and R 2 are the mean geometrical distances for the two cross sections in themselves and R 1Z the same quantity for the one relative to the other. In the case when the wires have circular cross sections of radii a, b and are at a distance d apart this is The importance of this result is that the local part in the inductance alone appears. The non-local part due to the distant parts of the circuits is zero, or at least negligib...le. Thus the inductance can be reckoned to a very good approximation as so much per unit length.
The return circuit localises the field, which is thus far more concentrated when the return circuit exists than when it does not. The distant parts of the current which are practically equivalent to equal and opposite currents very near to one another do not give any effect for the field at a finite distance. The field at any point in such circumstances is entirely local and depends only on the conditions in parts of the conductors just near.


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