Excerpt from Coupled Circuits in Which the Secondary Has Distributed Inductance and Capacity
In a previous communication 1 I have discussed the problem of coupled circuits on the assumption that the inductance and capac ity of the two Circuits are localized; this is equivalen... t to a system of two degrees of freedom, and such a system oscillates with two distinct frequencies, which were completely determined. It was also shown that such a system has two damping factors. The assumption, however, that the inductance and capacity of the secondary as well as the primary are localized does not give the conditions which correspond to those of wireless telegraphy. In a wireless telegraph system it is the antenna, which has a dis tributed inductance and capacity, which is the secondary, and this will represent a system of an infinite number of degrees of freedom, and consequently the system will oscillate with an infinite number of frequencies. In this communication it is pro posed to investigate such a system, in order to see whether the two fundamental frequencies, as obtained in the previous paper, will be in any way. Modified'by the assumption that the secondary has distributed inductance and capacity, and also whether the other frequencies besides the two fundamental ones will in any way in¿uence the results as previously obtained.
It was shown in my previous paper that the resistance does not in¿uence materially the frequency constants, and since in this problem we are concerned with frequency constants only we will, in order to simplify the mathematical treatment of the problem.
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