Electricity And Magnetism

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Of induction will in this case be expressed by d$ d, If the two circuits are of invariable form, and if we sup- pose that the permeability of the medium surrounding them is constant, L s and L m are constant factors, and we have d/ T oV The secondary circuit may, moreover, be situated in a field produced by the earth and magnets. If we denote by 3s-}-2(m(*)) the total flux set up by these causes across the circuit, we get the general expression = L s i + LJ + Ws + whence LAWS OF ELECTROMAGNETI...C INDUCTION. 2/7 NOTE. Let us take up again for a moment the case of an annular bobbin, with an iron core closed upon itself and traversed by currents whose direction varies periodically, passing from -|- i to i and inversely. At every change of direction the magnetization oLthe core is reversed and the coefficient of self-induction for the bobbin takes the value L s = ^$nn^s. But if the currents traversing the coils vary from o to a value i without assuming negative values, i. E. If the current is simply intermittent, the magnetic filaments formed in the core remain oriented by virtue of their coercive force, and the coefficient of self-induction of the bobbin has, for the currents following the first, sensibly the same value as if the core did not exist.

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