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  • The Effect of Small Variations in Pitch Upon the Inductance of a Standard Solenoid (Classic Reprint)

The Effect of Small Variations in Pitch Upon the Inductance of a Standard Solenoid (Classic Reprint)

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Excerpt from The Effect of Small Variations in Pitch Upon the Inductance of a Standard SolenoidThe inductance of a coil may be obtained by summing the self-inductances of the turns and the mutual inductances of all the pairs of turns of which the coil is composed. We will assume, as has been done in the preceding paper, that the coil is made up of parallel, coaxial, circular turns of wire, that is, the helicity will be neglected. Thus the effect of irregularities in the winding pitch will be taken into account by supposing each turn to be displaced in the axial direction by an amount equal to the average of the displacements of all the elements of the turn from their ideal positions.It is evident that the self-inductance of an individual turn will not be altered by such a displacement. The mutual inductances of the various pairs of turns are, on the contrary, changed by the displacements of the wires from their ideal positions, and the algebraic sum of the changes of mutual inductance of all the pairs of turns of the coil will give the change of inductance of the coil, due to the assumed irregularities of winding.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.
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