Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/415

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324.]
COMPOSITE CONDUCTOR.
373

324.] To construct a framework of linear conductors which shall have any given coefficients of conductivity forming a symmetrical system.

Fig. 24.

Let the space be divided into equal small cubes, of which let the figure represent one. Let the coordinates of the points and their potentials be as follows:

Let these four points be connected by six conductors,


of which the conductivities are respectively



The electromotive forces along these conductors will be


and the currents


Of these currents, those which convey electricity in the positive direction of are those along and and the quantity conveyed is



Similarly


whence we find by comparison with the equations of conduction, Art. 298,