Abstract
In the low-voltage stage of the spark, the current depends on the solution of a cubic equation, and has therefore in general one strong aperiodic and two alternating components. When the ratios α1 = R1/L1 of the primary and α2 = R2/L2 of the secondary are kept small compared with the natural angular frequency ω1 of the primary, damped electrical oscillations of frequency [Formula: see text] are set up in the windings, even when the voltage at the spark gap is constant. With larger values of α2 and if necessary higher coupling factors, κ, the frequency of the oscillations decreases and near the point at which (α1 + α2)2/3(1 − κ2)ω12 becomes smaller than unity, the discharge becomes aperiodic, or under certain conditions, intermittent. Rapid changes of short duration cause the wires leading from the spark to the coil and portions of the coil to oscillate, the leads acting as antennas rather than as circuit elements with uniform distribution of the current. In the aperiodic stage the current behaves as if it were independent of the primary.
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