No problem mate
Has anyone been able to find a translated version of the russian paper or translated it themselves? I found on JL Naudins website most of the first page;
As we have shown earlier, starting from energy considerations it is
easy to account for the physical aspects of the excitation of oscillations
by periodic (stepwise) variation of the capacitance of an oscillatory
system not containing any explicit sources of magnetic or electric fields.
We shall briefly repeat this argument for the case of variation of
self-inductance. Suppose that a current i is flowing in an oscillatory
system consisting of a capacitance C, ohmic resistance R, and self
inductance L, at some instant of time which we shall take as the starting
instant. At this moment we change L by dL, which is equivalent to
increasing the energy by 1/2 dLi^2. The system is now left to itself.
After a time equal to 1/4 of the period of the tuned frequency of the
system, all of the energy transforms from magnetic to electrostatic. At
this moment, when the current falls to zero, we return the self-induction
to its original value, which can evidently be done without expending work,
and again we leave the system alone. After the next 1/4 period of
resonance oscillations the electrostatic energy transforms fully into
magnetic energy and we can begin a new cycle of variation of L. If the
energy put in at the beginning of the cycle exceeds that lost during the
cycle, i.e., if
1/2 dLi^2 > 1/2Ri^2 (T/2)
or
dL/L > e
where e is the logarithmic decrement of the natural oscillations of the
system, then the current will be larger at the end of each cycle than at
the beginning. Thus, repeating these cycles, i.e. changing L with a
frequency twice the mean resonance frequency of the system in such a way
that
dL/L > e
we can excite oscillations in the system without any EMF acting on it, no
matter how small the initial charge. Even in the absence of the
practically always present random inductions (due to power transmission
lines, terrestrial magnetic fields, atmospheric charges) we can in
principle always find "random charges" in the circuit on account of
statistical fluctuations.
easy to account for the physical aspects of the excitation of oscillations
by periodic (stepwise) variation of the capacitance of an oscillatory
system not containing any explicit sources of magnetic or electric fields.
We shall briefly repeat this argument for the case of variation of
self-inductance. Suppose that a current i is flowing in an oscillatory
system consisting of a capacitance C, ohmic resistance R, and self
inductance L, at some instant of time which we shall take as the starting
instant. At this moment we change L by dL, which is equivalent to
increasing the energy by 1/2 dLi^2. The system is now left to itself.
After a time equal to 1/4 of the period of the tuned frequency of the
system, all of the energy transforms from magnetic to electrostatic. At
this moment, when the current falls to zero, we return the self-induction
to its original value, which can evidently be done without expending work,
and again we leave the system alone. After the next 1/4 period of
resonance oscillations the electrostatic energy transforms fully into
magnetic energy and we can begin a new cycle of variation of L. If the
energy put in at the beginning of the cycle exceeds that lost during the
cycle, i.e., if
1/2 dLi^2 > 1/2Ri^2 (T/2)
or
dL/L > e
where e is the logarithmic decrement of the natural oscillations of the
system, then the current will be larger at the end of each cycle than at
the beginning. Thus, repeating these cycles, i.e. changing L with a
frequency twice the mean resonance frequency of the system in such a way
that
dL/L > e
we can excite oscillations in the system without any EMF acting on it, no
matter how small the initial charge. Even in the absence of the
practically always present random inductions (due to power transmission
lines, terrestrial magnetic fields, atmospheric charges) we can in
principle always find "random charges" in the circuit on account of
statistical fluctuations.
Raui
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