US2292798A - Oscillator circuit - Google Patents

Oscillator circuit Download PDF

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US2292798A
US2292798A US284193A US28419339A US2292798A US 2292798 A US2292798 A US 2292798A US 284193 A US284193 A US 284193A US 28419339 A US28419339 A US 28419339A US 2292798 A US2292798 A US 2292798A
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circuit
tube
frequency
inductance
oscillator
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Walter Van B Roberts
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RCA Corp
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03BGENERATION OF OSCILLATIONS, DIRECTLY OR BY FREQUENCY-CHANGING, BY CIRCUITS EMPLOYING ACTIVE ELEMENTS WHICH OPERATE IN A NON-SWITCHING MANNER; GENERATION OF NOISE BY SUCH CIRCUITS
    • H03B5/00Generation of oscillations using amplifier with regenerative feedback from output to input
    • H03B5/08Generation of oscillations using amplifier with regenerative feedback from output to input with frequency-determining element comprising lumped inductance and capacitance
    • H03B5/10Generation of oscillations using amplifier with regenerative feedback from output to input with frequency-determining element comprising lumped inductance and capacitance active element in amplifier being vacuum tube

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  • This invention relates to an oscillator circuit having as little frequency dependence as possible upon variations of effective impedances between tube electrodes.
  • the object of the present invention is to provide an oscillator circuit having the maximum frequency stability that can be obtained with a given physical size of coil while permitting the variable condenser to be chosen of any desired capacity and at the same time to provide a feedback arrangement free of parasitic modes of oscillation.
  • the effect upon frequency of a given variation in a tube capacity is independent of the choice of capacity used in the frequency determining circuit provided that in every case a coil of the same ratio of inductance to resistance is used, it being assumed that the condenser is relatively loss-free, and further provided that the couplings between the tuned circuitand the input and output electrodes ofthe tube are chosen only sufficient to produce oscillations. Since the ratio of inductance to resistance of a coil is determined to a large extent by its physical dimensions and not by its inductance, it will be seen that with a given physical size of coil it is not necessary to use a small inductance and large capacity to produce a stable oscillator.
  • the result of using the two kinds of couplings is to eliminate the chief parasitic modes of oscillation, leaving only such ultra high frequency parasitics possible as may occur on the leads to the tubes themselves, and these latter parasitics are not likely to occur with any tube used ordinarily as an oscillation generator and even if they do occur are relatively easily suppressed by the use of resistances or chokes too small to have any appreciable influence upon the fundamental frequency.
  • Fig. 1 shows an oscillation generator and output amplifier in accordance with the invention
  • Fig. 2 shows .an adaptation of a known circuit, to render it capable of attaining the objects of the invention
  • Fig. 3 shows an inductively tuned oscillator in accordance with the invention.
  • coil L is chosen to have any value required to cooperate with convenient values of condensers C3 and C2.
  • C1 is chosen very large compared to C2 so that the effect of Cl upon the resonant frequency is small.
  • the range of frequencies over which the oscillator may be tuned by means of C3 is determined by the relative value of the maximum capacity of C3 and the capacity C2.
  • C3 and C2 may be, determined to fit the requirements of range of tuning and convenience of dimensions for these conthe tube VI.
  • the output circuit of the tube comprising anode I2, inductance L, by-pass condenser K and cathode I0, is coupled to coil L magnetically.
  • L is a coil 2%.” in diameter, 2" long, and having 40 turns of wire wound with about one half of one wire diameter spacing between turns. L is 4 turns wound over the lower end of coil L.
  • this oscillator can be keyed at the jack J while exciting the subsequent amplifier V2 withno more noticeable chirp or drift in frequency as observed by listening to a harmonic at about 30 me. than a crystal controlled oscillator with which it was compared.
  • a separate tube V2 is employed in Fig. 1. Cathode self bias is used to cause this tube to draw normal plate current in the absence of excitation.
  • This bias is obtained by resistance R2, shunted by by-pass condenser K, connected between the cathode 23 and ground.
  • the grid 24 of V2 may be loosely coupled to the oscillation circuit in any desired manner, but for simplicity, I prefer to connect this grid directly to the grid 8 of tube VI whereby the total bias of tube V2 is always greater than that of tube VI by the amount of drop through cathode resistor R2. In this way the grid loss of tube V2 may be kept smaller at all times than the necessary grid loss in the oscillator so that the loading on the oscillator is negligible. If tube V2 and its output circuit 36' are thoroughly shielded the output circuit may betuned to the same frequency as the oscillator without appreciable effect upon the oscillator frequency. What little effect there may be can be greatly reduced by tuning the output circuit of tube V2 to a harmonic of the oscillator frequency.
  • Fig. 2 shows the invention applied to the wellknown so-called electron coupled oscillator.
  • This oscillator comprises a tube V3 having its grid til, cathode 44, and screen grid 33 connected in regenerative oscillation generation circuits.
  • the fundamental frequency of oscillation is concerned, the behavior is exactly the same as that which would be expected of the usual arrangement (where the grid and cathode are connected across the inductance) if in the latter the grid connection were brought down from the top of the coil to a position only slightly above the cathode connection.
  • the grid is connected to a point between two condensers C2 and CI for reasons pointed out in detail in connection with Fig. 1, the arrangement shown in Fig.
  • the frequency stability of the oscillatory depends on the ratio of inductance to resistance of the oscillator coil, that is, on its absolute selectivity. Furthermore, in the case where the fundamental oscillator. frequency is multiplied to obtain a higher frequency output wave, the actual number of cycles shift in the frequency of the output wave produced by a given capacity change in the oscillator tubeis inversely proportional to the inductance to resistance ratio as measured at the fundamental frequency.
  • the optimum frequency to choose for an oscillator regardless of the amount of frequency multiplication that may be required to obtain the desired output frequency, is that frequency for which a coil of maximum ratio of inductance to resistance is obtainable.
  • the oscillation generator comprising tube VI and its associated circuits is substantially the same as that shown in Fig. 1 except as otherwise noted hereinbefore and hereinafter.
  • the condensers CI and C2 are fixed. Tuning is accomplished by moving the core 60 in the field of coupled inductances L and L by any means such as, for example,, a cam 62.
  • the tuning condenser C3 of Fig. 1 is omitted from the circuit of Fig. 3.
  • a coupling and amplifying tube V2 has its grid 24 connected directly to the grid.
  • the tube V2'in the present case generally is operated as a frequency multiplier and since the fundamental frequency developed in VI is relatively low, the output circuit 30 tuned by a core 66 is tuned to a harmonic of a higher order.
  • the oscillating voltages set up in 30 may be impressed by coupling condenser 68 on the grid of an additional frequency multiplier V3 followed, if desired, by still other multipliers.
  • a tunable circuit including an inductance coil and a relatively large condenser and relatively small condenser connected in series across said inductance coil, said large condenser beingat least ten times as large as said small condenser, a vacuum tube having input electrodes including a grid and cathode and having an anode, means connecting the input electrodes of said tube in shunt to said relatively large condenser, an inductance in an anode circuit for said tube, there being mutual inductance between said anode circuit inductance and said inductance coil, said mutual inductance being substantially less than said coil inductance, whereby the resulting reactances effective between grid and cathode and between anode and cathode are dissimilar in sign at the frequencies of modes of oscillation other than the desired oscillations.
  • a tube having input and output electrodes, a coil, 2, pair of fixed capacities in series connected across said coil, one of said capacities being at least ten times as large as the other, means connecting the input electrodes of said tube in shunt to said one capacity, an output circuit connected with said output electrodes and inductively coupled to said input electrodes, and means for varying the frequency of oscillation of said tube and circuits comprising a movable magnetic core in said coil.
  • a frequency determining circuit comprising an inductance shunted by a relatively large condenser and a relatively small condenser in series, the ratio of the capacities of said condensers being at least ten to one, an electron discharge tube having a cathode and a plurality of cold electrodes,
  • one cold electrode and said cathode and an inductance connected between another cold electrode and said cathode and coupled to said first inductance, said two couplings providing substantially the minimum amount of feedback necessary to the maintenance of reliable oscillations in said tube and circuit.
  • a frequency determining circuit comprising an inductance shunted by a capacity potentiometer, said potentiometer comprising in series a pair of capacities of ratio at least ten to one, an electron discharge tube having a cathode and a plurality of cold electrodes, means coupling the large capacity portion of the capacity potentiometer between one cold electrode and said cathode, an inductance connected between another cold elecrode and said cathode and coupled to said first inductance, said two couplings providing substantially the minimum amount of feedback necessary to the maintenance of reliable oscillations in said tube and circuit.
  • An oscillation generator including an e1ectron discharge tube having input and output circuits whose impedances vary undesirably by different amounts, and a tuned circuit including an inductance and capacity, said inductance being proportioned to have substantially the maximum ratio of inductance to resistance consistent with a permissible maximum physical dimension, means for coupling the output circuit of said tube to said tuned circuit, and means for coupling the input circuit of said tube to said tuned circuit, said couplings being the minimum couplings which will produce reliable oscillations, and the coupling of said tuned circuit to the one of said first two named circuits which has the greater undesired impedance variation being smaller than the coupling to the other of said first named circuits.
  • An oscillation generator including an electron discharge tube having input and output circuits whose impedances vary undesirably by difierent amounts, and a tuned circuit including an inductance and capacity, said inductance be in proportioned to have substalntially the maximum ratio of inductance to resistance consistent with a permissible maximum physical dimension, said inductance and capacity being dimensioned to make the fundamental frequency of oscillation of said generator low that further reduction thereof produces relatively little further improvement in said ratio of inductance to resistance, means for coupling the output circuit of said tube to said tuned circuit, and means for coupling the input circuit of said tube to said tuned circuit, said couplings being the minimum couplings which will produce reliable oscillations, and the coupling of said tuned circuit to the one of said first two named circuits which has the greater undesired impedance variation being smaller than the coupling to the other of said first named circuits.

Description

Aug. 11, 1942. w. VAN B. ROBERTS OSCILLATOR CIRCUIT Filed July 13, 1939 BY I Mp-0g,
ATTORNEY Patented Aug. 11, 1942 UNITED STATES PATENT OFFICE OSCILLATOR CIRCUIT Walter van B. Roberts, Princeton, N. J., assignor to Radio Corporation of America, a corporation of Delaware 7 Claims.
.This invention relates to an oscillator circuit having as little frequency dependence as possible upon variations of effective impedances between tube electrodes.
It has been recognized for some time that the variation of oscillator frequency with changes of impedance between tube electrodes from whatever .cause, may be reduced by using extremely large values of capacity in the frequency determining resonant circuit. This practice has been explained by stating that variations in tube capacity are thus made extremely small in comparison with the circuit capacity. The drawback to this method of improving oscillator stability is that it calls for extremely large values of capacity which are not readily obtainable in a variable condenser of reasonable dimensions. If large capacities are obtained by fairly large plates and extremely close spacing then the microphonic effects of mechanical vibration become serious. On the other hand, unless the frequency determining circuit is given as large a capacity as is possible while still permitting oscillations to be generated, the advantages of the method are not fully exploited.
The object of the present invention is to provide an oscillator circuit having the maximum frequency stability that can be obtained with a given physical size of coil while permitting the variable condenser to be chosen of any desired capacity and at the same time to provide a feedback arrangement free of parasitic modes of oscillation.
It may be demonstrated mathematically that the effect upon frequency of a given variation in a tube capacity is independent of the choice of capacity used in the frequency determining circuit provided that in every case a coil of the same ratio of inductance to resistance is used, it being assumed that the condenser is relatively loss-free, and further provided that the couplings between the tuned circuitand the input and output electrodes ofthe tube are chosen only sufficient to produce oscillations. Since the ratio of inductance to resistance of a coil is determined to a large extent by its physical dimensions and not by its inductance, it will be seen that with a given physical size of coil it is not necessary to use a small inductance and large capacity to produce a stable oscillator. Exactly as much stabilitymay be obtained by using a stiffer circuit having a coil of similar dimensions and employing sufliciently reduced couplings between the circuit and the tube. Unfortunately, however, when it is attempted to reduce these couplings by the simple expedient, for example, of tapping the grid, cathode and plate at points closely adjacent and in the order named along the inductance of a tuned circuit, parasitic oscillations of relatively high frequency arise in a manner well known. Similarly, parasitic oscillations also arise where the grid circuit and plate circuit each include a coil, each of which is indu-ctively coupled with the tuned circuit. It is also known that these parasitic oscillations can be prevented by the insertion of sufiiciently large resistances in the parasitic circuits. However, this reduces the tendency to oscillate at the desired frequency, and hence by requiring increased couplings to produce oscillation, reduces the fre-' quency stability. In accordance with the present invention, such parasitic oscillations are avoided while retaining the advantages of loose coupling by employing a capacity coupling between one pair of tube electrodes and the resonant circuit and an inductive coupling between the other pair of tube electrodes and the resonant circuit. The result of using the two kinds of couplings is to eliminate the chief parasitic modes of oscillation, leaving only such ultra high frequency parasitics possible as may occur on the leads to the tubes themselves, and these latter parasitics are not likely to occur with any tube used ordinarily as an oscillation generator and even if they do occur are relatively easily suppressed by the use of resistances or chokes too small to have any appreciable influence upon the fundamental frequency.
Fig. 1 shows an oscillation generator and output amplifier in accordance with the invention;
Fig. 2 shows .an adaptation of a known circuit, to render it capable of attaining the objects of the invention;
Fig. 3 shows an inductively tuned oscillator in accordance with the invention.
In Fig. 1 coil L is chosen to have any value required to cooperate with convenient values of condensers C3 and C2. C1 is chosen very large compared to C2 so that the effect of Cl upon the resonant frequency is small. The range of frequencies over which the oscillator may be tuned by means of C3 is determined by the relative value of the maximum capacity of C3 and the capacity C2. Thus, C3 and C2 may be, determined to fit the requirements of range of tuning and convenience of dimensions for these conthe tube VI. The output circuit of the tube, comprising anode I2, inductance L, by-pass condenser K and cathode I0, is coupled to coil L magnetically. When using a screen grid tube having high internal plate impedance, it is desirable to make the coupling between the plate circuit and the tuned circuit somewhat tighter than that between the tuned circuit and the grid circuit since impedance variations in the plate circuit of the tube are likely to be less than in the grid circuit of the tube. By way of illustration, I have found satisfactory constants for the oscillation generating portion of Fig. 1 to be as follows:
03: 50 mmf.
C2: 100 mmf.
CI=200- mmf.
L is a coil 2%." in diameter, 2" long, and having 40 turns of wire wound with about one half of one wire diameter spacing between turns. L is 4 turns wound over the lower end of coil L. Using a 6V6 tube this oscillator can be keyed at the jack J while exciting the subsequent amplifier V2 withno more noticeable chirp or drift in frequency as observed by listening to a harmonic at about 30 me. than a crystal controlled oscillator with which it was compared. In order to minimize any reaction from the load' circuit upon the oscillator, a separate tube V2 is employed in Fig. 1. Cathode self bias is used to cause this tube to draw normal plate current in the absence of excitation. This bias is obtained by resistance R2, shunted by by-pass condenser K, connected between the cathode 23 and ground. The grid 24 of V2 may be loosely coupled to the oscillation circuit in any desired manner, but for simplicity, I prefer to connect this grid directly to the grid 8 of tube VI whereby the total bias of tube V2 is always greater than that of tube VI by the amount of drop through cathode resistor R2. In this way the grid loss of tube V2 may be kept smaller at all times than the necessary grid loss in the oscillator so that the loading on the oscillator is negligible. If tube V2 and its output circuit 36' are thoroughly shielded the output circuit may betuned to the same frequency as the oscillator without appreciable effect upon the oscillator frequency. What little effect there may be can be greatly reduced by tuning the output circuit of tube V2 to a harmonic of the oscillator frequency.
For greatest possible frequency stability it is, of course, desirable to employ known expedients such as optimum electrode voltages, regulated sources of voltages, isolating all heat producing elements from the tuned circuit, making the oscillatory circuit elements as rigid and non-vibratory as possible, and utilizing as VI a tube having the greatest transconductance together with the least variation in its interelectrode capacities. And finally, in any case, condenser CI should be made as large as possible consistent with suflicient strength of oscillation to produce satisfactory output.
Fig. 2 shows the invention applied to the wellknown so-called electron coupled oscillator. This oscillator comprises a tube V3 having its grid til, cathode 44, and screen grid 33 connected in regenerative oscillation generation circuits. As far as the fundamental frequency of oscillation is concerned, the behavior is exactly the same as that which would be expected of the usual arrangement (where the grid and cathode are connected across the inductance) if in the latter the grid connection were brought down from the top of the coil to a position only slightly above the cathode connection. However, since the grid is connected to a point between two condensers C2 and CI for reasons pointed out in detail in connection with Fig. 1, the arrangement shown in Fig. 2 is free of the parasitic oscillations that occur when the grid is connected to the coil at a point below its top. The produced oscillations appear in the tank circuit 50 connected to the anode 52. As the electron coupled oscillator is of the nature of a triode oscillator circuit with respect to the generation of oscillations, it is perhaps slightly inferior to the screen grid oscillator of-Fig. 1 with respect to stability, and for this reason I prefer to include in the direct current supply circuit for the screen grid 48 a voltage regulator tube VR in shunt to that portion of the source connected between the screen grid 38 and cathode 44.
It has been mentioned that the frequency stability of the oscillatory depends on the ratio of inductance to resistance of the oscillator coil, that is, on its absolute selectivity. Furthermore, in the case where the fundamental oscillator. frequency is multiplied to obtain a higher frequency output wave, the actual number of cycles shift in the frequency of the output wave produced by a given capacity change in the oscillator tubeis inversely proportional to the inductance to resistance ratio as measured at the fundamental frequency. Thus the optimum frequency to choose for an oscillator, regardless of the amount of frequency multiplication that may be required to obtain the desired output frequency, is that frequency for which a coil of maximum ratio of inductance to resistance is obtainable. (This is a lower frequency than would be chosen if the coil were to be of maximum Q.) Now, if for the purpose of improving the stability, I choose an oscillator frequency that is very low, for example in the lowest radio or even the higher audio-frequency range, it becomes impractical to employ variable condensers for tuning on account of their large size and microphonic effects. Therefore, there is shown in Fig. 3-an arrangement employing only fixed condensers and using a moving magnetic core for tuning. This core may be so shaped as to cover a desired range of frequencies, and its composition, that is whether of ordinary thin laminations or offine iron dust or magnetite, will be chosen in accord ance with the frequency employed. It will, of course, be necessary to multiply the frequency of such an oscillator as shown in Fig. 3 many times if a high frequency output is desired, but if each stage, by the aid of. regeneration at its output frequency (as indicated in. Fig. 3) multi plies the frequency by a considerable factor such as 5, a relatively few stages will give an enormous total multiplication.
Referring more in detailto Fig. 3, the oscillation generator comprising tube VI and its associated circuits is substantially the same as that shown in Fig. 1 except as otherwise noted hereinbefore and hereinafter. The condensers CI and C2 are fixed. Tuning is accomplished by moving the core 60 in the field of coupled inductances L and L by any means such as, for example,,a cam 62. The tuning condenser C3 of Fig. 1 is omitted from the circuit of Fig. 3.
As in Fig. 1 a coupling and amplifying tube V2 has its grid 24 connected directly to the grid.
T 8 of tube VI. The tube V2'in the present case generally is operated as a frequency multiplier and since the fundamental frequency developed in VI is relatively low, the output circuit 30 tuned by a core 66 is tuned to a harmonic of a higher order. The oscillating voltages set up in 30 may be impressed by coupling condenser 68 on the grid of an additional frequency multiplier V3 followed, if desired, by still other multipliers.
What is claimed is:
1. In an oscillation generator, a tunable circuit including an inductance coil and a relatively large condenser and relatively small condenser connected in series across said inductance coil, said large condenser beingat least ten times as large as said small condenser, a vacuum tube having input electrodes including a grid and cathode and having an anode, means connecting the input electrodes of said tube in shunt to said relatively large condenser, an inductance in an anode circuit for said tube, there being mutual inductance between said anode circuit inductance and said inductance coil, said mutual inductance being substantially less than said coil inductance, whereby the resulting reactances effective between grid and cathode and between anode and cathode are dissimilar in sign at the frequencies of modes of oscillation other than the desired oscillations.
2. An oscillation generator as recited in claim 1 wherein the mutual reactance between the anode circuit and the coil is greater than the reactance of said relatively large condenser.
3. In an oscillation generator, a tube having input and output electrodes, a coil, 2, pair of fixed capacities in series connected across said coil, one of said capacities being at least ten times as large as the other, means connecting the input electrodes of said tube in shunt to said one capacity, an output circuit connected with said output electrodes and inductively coupled to said input electrodes, and means for varying the frequency of oscillation of said tube and circuits comprising a movable magnetic core in said coil.
4. In a system for providing oscillations of substantially constant desired frequency, a frequency determining circuit comprising an inductance shunted by a relatively large condenser and a relatively small condenser in series, the ratio of the capacities of said condensers being at least ten to one, an electron discharge tube having a cathode and a plurality of cold electrodes,
means coupling said large condenser between.
one cold electrode and said cathode, and an inductance connected between another cold electrode and said cathode and coupled to said first inductance, said two couplings providing substantially the minimum amount of feedback necessary to the maintenance of reliable oscillations in said tube and circuit.
5. In a, system for providing oscillations of a substantially constant desired frequency, a frequency determining circuit comprising an inductance shunted by a capacity potentiometer, said potentiometer comprising in series a pair of capacities of ratio at least ten to one, an electron discharge tube having a cathode and a plurality of cold electrodes, means coupling the large capacity portion of the capacity potentiometer between one cold electrode and said cathode, an inductance connected between another cold elecrode and said cathode and coupled to said first inductance, said two couplings providing substantially the minimum amount of feedback necessary to the maintenance of reliable oscillations in said tube and circuit.
6. An oscillation generator including an e1ectron discharge tube having input and output circuits whose impedances vary undesirably by different amounts, and a tuned circuit including an inductance and capacity, said inductance being proportioned to have substantially the maximum ratio of inductance to resistance consistent with a permissible maximum physical dimension, means for coupling the output circuit of said tube to said tuned circuit, and means for coupling the input circuit of said tube to said tuned circuit, said couplings being the minimum couplings which will produce reliable oscillations, and the coupling of said tuned circuit to the one of said first two named circuits which has the greater undesired impedance variation being smaller than the coupling to the other of said first named circuits.
7. An oscillation generator including an electron discharge tube having input and output circuits whose impedances vary undesirably by difierent amounts, and a tuned circuit including an inductance and capacity, said inductance be in proportioned to have substalntially the maximum ratio of inductance to resistance consistent with a permissible maximum physical dimension, said inductance and capacity being dimensioned to make the fundamental frequency of oscillation of said generator low that further reduction thereof produces relatively little further improvement in said ratio of inductance to resistance, means for coupling the output circuit of said tube to said tuned circuit, and means for coupling the input circuit of said tube to said tuned circuit, said couplings being the minimum couplings which will produce reliable oscillations, and the coupling of said tuned circuit to the one of said first two named circuits which has the greater undesired impedance variation being smaller than the coupling to the other of said first named circuits.
WALTER VAN B. ROBERTS.
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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2531313A (en) * 1944-06-22 1950-11-21 Honeywell Regulator Co Oscillator and oscillator-controlled relay system
US2642482A (en) * 1950-01-31 1953-06-16 Segsworth Robert Sidney Electronic bit tester
US2681432A (en) * 1949-11-15 1954-06-15 Hydro Nitro S A Device for producing high-tension currents of low current intensity
US2783345A (en) * 1954-03-26 1957-02-26 Nat Cylinder Gas Co High-frequency heating applicators
US3005351A (en) * 1949-10-27 1961-10-24 Lawrence E Goodman Apparatus for providing alternating power of variable frequency
US3076935A (en) * 1956-01-06 1963-02-05 Edythe Kendall Closure operator and radio control apparatus

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2531313A (en) * 1944-06-22 1950-11-21 Honeywell Regulator Co Oscillator and oscillator-controlled relay system
US3005351A (en) * 1949-10-27 1961-10-24 Lawrence E Goodman Apparatus for providing alternating power of variable frequency
US2681432A (en) * 1949-11-15 1954-06-15 Hydro Nitro S A Device for producing high-tension currents of low current intensity
US2642482A (en) * 1950-01-31 1953-06-16 Segsworth Robert Sidney Electronic bit tester
US2783345A (en) * 1954-03-26 1957-02-26 Nat Cylinder Gas Co High-frequency heating applicators
US3076935A (en) * 1956-01-06 1963-02-05 Edythe Kendall Closure operator and radio control apparatus

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