Four methods are proposed to measure a phase angle with a single triode. These method; were studied experimentally and theoretically.
Ist method: - Two alternating emfs are impressed to anode and grid. If these two emfs are in opposite phase, the anode and emission currents must be min. Thus, by finding min. anode or emission current, one can join any two emfs in opposite phase, with a triode. In this case it may be said that triode is used like a mere potentiometer. Some phase shifting device, with index of the shifted phase angle, is wanted. Thus with this single triode, two emfs with unknown phase angle may be joined in opposite phase to the shifting emf of the device one by one. Thus the unknown phase angle is measured.
This method was investigated experimentally and obtained the following conclusions.
(i) It is preferable to obtain the min. value of anode current, but not of emission current, as the former is found more easily. (Fig. 2, 3 & 4)
(ii) This min. value is the more distinct the higher the anode and grid potentials. (Fig. 2, 3, 4 & 5) But if the grid potential is made too high, its phase will be shifted due to the grid curient.
(iii) Connect one of the terminals of anode emf to the (+) end of the filament and that of grid emf to a sliding pt. on a potentiometer in shunt with the filament battery. The sliding Point is best set at a Point having alittle higher potential than the neutral. (Fig. 6, 7 & 8)
(iv) By this method, the phase angle can be determined nearly or absolutely at no load.
There are no need keep anode, grid and filament voltages constant during the measurements.
This method is independent to the unstabllity of the triode itself.
2nd method: - Two alternating emfs, having a phase difference α are impressed to anode and grid. Keep anode emf and α constant, and decrease the ., grid emf gradually, then the anode current may bass a min. value. It was found experimentally that, when α is constant, the anode emf and grid emf which gives min. anode current, satis'y a linear equation. (Fib. 12-20)
So, if the grid emf that gives the min anode current at a constant anode emf is given, α can be found.
The range of α, for which this method holds good, is determined Studied the effects of connecting the emfs to various points of filament. (Fig. 21, 22 & 23)
3rd method: - Two alternating emfs are impressed to anode and grid. If there is no effect in anode (& emission) current by changing the sign of grid emf, these two emfs must be in quadrature.
So one can join two emfs in quadrature, instead of in opposite phase in the Ist method. Thus any phase angle can be measured as similar as the Ist method.
In this method, some higher grid emf is recomended. (Fig. 33 & 34)
Also studied that, how can be determined whether it is π/2 lead case or π/2 lag case.
4th method: - In the 2nd method we utilized the min value of the anode current. While in this method, the min. value of the emission current is made use of. This latter holds good for the wider range of α than the former. If α be kept constant, the anode emf is proportional to the grid emf, when these emfs give the min. emission current. (Fig. 36, 37 & 38)
The sensibility of this method is considered. (39 & 40) The following shnple relation is found, when the emission current is a min, value: -μE
g+E
p cos α=0, where E
g=max. value of grid emf, E
p= _??_ anode emf, μ=amplification constant.
This equation and the min. value of the emission current at α=-π, are discussed.
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