Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/412

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370
CONDUCTION IN HETEROGENEOUS MEDIA.
[320.

of conductivity, Art. 298. If we put for the determinant of the coefficients of resistance, we find



Similar equations with the symbols accented give the values of and Having found and in terms of and we may write down the equations of conductivity of the stratified conductor. If we make and we find

320.] If neither of the two substances of which the strata are formed has the rotatory property of Art. 303, the value of any or will be equal to that of its corresponding or From this it follows that in the stratified conductor also


or there is no rotatory property developed by stratification, unless it exists in the materials.

321.] If we now suppose that there is no rotatory property, and also that the axes of and are the principal axes, then the and coefficients vanish, and