Study on the Natural Electrical Oscillations of Conical Coils

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This paper is the report of the experimental study on the natural electrical oscillations of the conical coil.Table (I) shows the constants of four conical coils under experiment, Table (II) the fundamental natural oscillation wave-lengths (λ1 λ1' λ1") and the equivalent self-capacity (c1 c1' c1") as well as the wave-length factor (λ1/2l, λ1'/4l, λ1"/4l) and the capacity f ctor (c1/r, c1'/r, c1"/r, ) when both ends of the coil are free and when one end is earthed. Curve (1) shows the variation of the wave-length fac or and the capacity factor with the mean dimension ratio h/2r, in comparison with solenoidal coils of uniform diameter.Table (III) shows the higher natural wave-lengths of the coil, Table (IV) the ratio of the fundamentalwavelength λ1 to the higher natural wavelength λm, Curves (2) and (3), the relations between the ratio λ1/λm and m, Curve (4) the var ation of the mean inclinations α and α' of Curves (2) and (3) with the dimension ratio, assuming these curves were straight lines. Curves (5), (6), (7) show the istribution of node and loop of the patential standing wave along the axial length of the coil.This paper contains the following items;Chapter (I) Introduction.Chapter (II) Fundamental natural electrical oscillation.Chapter (III) Higher natural oscillations.Chapter (IV) Wave form of the potential standing wave.
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