Waves, Lines, And Radiation Evidence
Waves, Lines, And Radiation
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What This Theme Gathers
Section titled “What This Theme Gathers”Passages involving waves, wavelength, frequency, propagation, standing waves, traveling waves, distributed constants, electrical radiation, light, spectrum, ultraviolet, X-rays, and transmission lines.
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Modern Reading Prompt
This theme bridges ordinary wave language, distributed-line mathematics, and the radiation spectrum. Keep physical scale and context visible.
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Matched Aliases
Section titled “Matched Aliases”| Alias | Hits |
|---|---|
wave | 3250 |
frequency | 2291 |
light | 2061 |
waves | 1024 |
radiation | 874 |
transmission line | 388 |
wave length | 236 |
wave-length | 236 |
spectrum | 149 |
propagation | 128 |
traveling wave | 104 |
ultra-violet | 91 |
distributed capacity | 90 |
wireless | 38 |
standing wave | 37 |
ultra-red | 32 |
x-rays | 21 |
ultraviolet | 14 |
periodicity | 6 |
distributed constants | 6 |
electric radiation | 3 |
hertzian | 3 |
electrical radiation | 2 |
infra-red | 1 |
Source Distribution
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Section titled “Representative Source-Located Passages”Lecture 17: Arc Lighting - 537 hit(s)
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... connection of from 50 to 100 lamps on one circuit. With the exception of a few of the larger cities, all the street lighting by arc lamps in this country is done by constant current systems, either direct current or alternating current. For direct current constant current supply, separate arc light machines have been built, and are still largely used. In these machines, inherent regulation for constant current is produced by using a very high armature reaction and relatively weak field excitation; that is, the armature ampere turns are nearly equal and opposite to the field ampere turns, ...... re connected in series with each other into the arc circuit supplied from the constant potential source, and by separating or coming together, vary in reactance with the load, and thereby maintain constant current. While the alternating current arc lamp is less efficient, that is, gives less light for the same power, than the direct cur- rent arc lamp, the disadvantages of the use of numerous arc machines have led to the extended adoption of alternating cur- rent series arc lighting before the development of the mercury 224 GENERAL LECTURES arc rectifier, which enabled the operation ...Lecture 3: Physiological Effects Of Radiation - 408 hit(s)
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LECTURE III. PHYSIOLOGICAL EFFECTS OF RADIATION. Visibility. 20. The most important physiological effect is the visibility of the narrow range of radiation, of less than one octave, between wave length 76 X 10~6 and 39 X 1Q-6. The range of intensity of illumination, over which the eye can see with practically equal comfort, is enormous: ...LECTURE III. PHYSIOLOGICAL EFFECTS OF RADIATION. Visibility. 20. The most important physiological effect is the visibility of the narrow range of radiation, of less than one octave, between wave length 76 X 10~6 and 39 X 1Q-6. The range of intensity of illumination, over which the eye can see with practically equal comfort, is enormous: the average intensity of illumination at noon of a sunny day is nearly one million times greater than the illu ...Lecture 1: Nature And Different Forms Of Radiation - 346 hit(s)
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LECTURE I. NATURE AND DIFFERENT FORMS OF RADIATION. 1. Radiation is a form of energy, and, as such, can be produced from other forms of energy and converted into other forms of energy. The most convenient form of energy for the production of rad- iation is heat energy, and radiation when destroyed by being intercepted by an opaque body, usu ...LECTURE I. NATURE AND DIFFERENT FORMS OF RADIATION. 1. Radiation is a form of energy, and, as such, can be produced from other forms of energy and converted into other forms of energy. The most convenient form of energy for the production of rad- iation is heat energy, and radiation when destroyed by being intercepted by an opaque body, usuaDy is converted ...Lecture 5: Temperature Radiation - 320 hit(s)
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LECTURE V. TEMPERATURE RADIATION. 34. The most common method of producing radiation is by impressing heat energy upon a body and thereby raising its tem- perature. Up to a short time ago this was the only method avail- able for the production of artificial light. The temperature is raised by heating a body by the transformat ...LECTURE V. TEMPERATURE RADIATION. 34. The most common method of producing radiation is by impressing heat energy upon a body and thereby raising its tem- perature. Up to a short time ago this was the only method avail- able for the production of artificial light. The temperature is raised by heating a body by the transformation of chemical energy, that is, by combustion, and ...Lecture 2: Relation Of Bodies To Radiation - 305 hit(s)
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LECTURE II. RELATION OF BODIES TO RADIATION. 9. For convenience, the total range of known radiations can be divided into two classes, the electric waves and the light waves, which are separated from each other by the blank space in the middle of the spectrum of radiation (Fig. 14). Under light waves we here include also the invisible u ...LECTURE II. RELATION OF BODIES TO RADIATION. 9. For convenience, the total range of known radiations can be divided into two classes, the electric waves and the light waves, which are separated from each other by the blank space in the middle of the spectrum of radiation (Fig. 14). Under light waves we here include also the invisible ultra-red radiation and the ultra-violet radiation and the non-refrangible radiations, as X-rays, etc., separat ...Lecture 12: Illumination And Illuminating Engineering - 271 hit(s)
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LECTURE XII. ILLUMINATION AND ILLUMINATING ENGINEERING. 110. Artificial light is used for the purpose of seeing and distinguishing objects clearly and comfortably when the day- light fails. The problem of artificial lighting thus comprises con- sideration of the source of light or the illuminant; the flux of light issuing from it; the distribution of the light flux in sp ...LECTURE XII. ILLUMINATION AND ILLUMINATING ENGINEERING. 110. Artificial light is used for the purpose of seeing and distinguishing objects clearly and comfortably when the day- light fails. The problem of artificial lighting thus comprises con- sideration of the source of light or the illuminant; the flux of light issuing from it; the distribution of the light flux in space, that is, the light flux density in space and more particularly at the illuminated objects; the illum ...Lecture 10: Light Flux And Distribution - 226 hit(s)
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LECTURE X. LIGHT FLUX AND DISTRIBUTION. 86. The light flux of an illuminant is its total radiation power, in physiological measure. It therefore is the useful output of the illuminant, and the efficiency of an illuminant thus is the ratio of the total light flux divided by the power input. In general, the d ...LECTURE X. LIGHT FLUX AND DISTRIBUTION. 86. The light flux of an illuminant is its total radiation power, in physiological measure. It therefore is the useful output of the illuminant, and the efficiency of an illuminant thus is the ratio of the total light flux divided by the power input. In general, the distribution of the light flux throughou ...Lecture 9: Measurement Of Light And Radiation - 208 hit(s)
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LECTURE IX. MEASUREMENT OF LIGHT AND RADIATION. 74. Since radiation is energy, it can be measured as such by converting the energy of radiation into some other form of energy, as, for instance, into heat, and measuring the latter. Thus a beam of radiation may be measured by having it impinge on one contact of a thermo-coupl ...LECTURE IX. MEASUREMENT OF LIGHT AND RADIATION. 74. Since radiation is energy, it can be measured as such by converting the energy of radiation into some other form of energy, as, for instance, into heat, and measuring the latter. Thus a beam of radiation may be measured by having it impinge on one contact of a thermo-couple, of which th ...Lecture 6: Luminescence - 194 hit(s)
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LECTURE VI. LUMINESCENCE. 43. All methods of producing radiation, and more particularly light, other than the temperature radiation or incandescence, are generally comprised by the name luminescence. Some special cases of luminescence have already been discussed in the phe- nomena of fluorescence and phosphorescence, represented by the conversion of the rad ...LECTURE VI. LUMINESCENCE. 43. All methods of producing radiation, and more particularly light, other than the temperature radiation or incandescence, are generally comprised by the name luminescence. Some special cases of luminescence have already been discussed in the phe- nomena of fluorescence and phosphorescence, represented by the conversion of the radiation absorbed by a body into ...Chapter 12: Frequency Converter Or General Alternating Current Transformer - 184 hit(s)
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CHAPTER XII FREQUENCY CONVERTER OR GENERAL ALTERNATING- CURRENT TRANSFORMER 103. In general, an alternating-current transformer conafete of a magnetic circuit, interlinked with two electric circuits or sets of electric circuits, the primary circuit, in which power, sup- plied by the impressed voltage, is consumed, ...... alternating-current transformer thus consist* of a magnetic circuit interlinked with two sets of electric circuits, the primary and the secondary, which are mounted rotatably with regards to each other. It transforms between primary electrical and secondary electrical power, and also between FREQUENCY CONVERTER 177 electrical and mechanical power. As the frequency of the re- volving secondary is the frequency of slip, thus differing from the primary, it follows, that the general alternating-current transformer changes not only voltages and current, but also frequencies, and may therefore b ...Chapter 25: Distortion Of Wave-Shape And Its Causes - 174 hit(s)
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CHAPTER XXV DISTORTION OF WAVE-SHAPE AND ITS CAUSES 232. In the preceding chapters we have considered the alter- nating currents and alternating e.m.fs. as sine waves or as replaced by their equivalent sine waves. While this is sufficiently exact in most cases, under certain circumstances the deviation of the wave from si ...CHAPTER XXV DISTORTION OF WAVE-SHAPE AND ITS CAUSES 232. In the preceding chapters we have considered the alter- nating currents and alternating e.m.fs. as sine waves or as replaced by their equivalent sine waves. While this is sufficiently exact in most cases, under certain circumstances the deviation of the wave from sine shape becomes of importance, and with certain distortions it may not be pos- sible to replace the distorted wave by an equivalent sine ...Chapter 4: Traveling Waves - 167 hit(s)
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CHAPTER IV. TRAVELING WAVES. 20. As seen in Chapter III, especially in electric power cir- cuits, overhead or underground, the longest existing standing wave has a wave length which is so small compared with the critical wave length — where the frequency becomes zero — that the effect of the damping constant on the freq ...CHAPTER IV. TRAVELING WAVES. 20. As seen in Chapter III, especially in electric power cir- cuits, overhead or underground, the longest existing standing wave has a wave length which is so small compared with the critical wave length — where the frequency becomes zero — that the effect of the damping constant on the frequency and the wave length is negligible. The same obviously applies also to traveling waves, generally to a still greater extent, si ...Lecture 2: Conclusions From The Relativity Theory - 161 hit(s)
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... tween the results of the old and of the new conceptions are so small that they usually cannot be observed even by the most accurate scientific investigation, and in the few instances where the differences have been measured, as in the disturbances of Mercury's orbit, the bending of the beam of light in the gravitational field, etc., they are close to the limits of observation. 12 CONCLUSIONS FROM RELATIVITY THEORY 13 We have seen that the length of a body and the time on it change with the relative velocity of the observer. The highest velocities which we can produce (outside of ioni ...... nge with the relative velocity of the observer. The highest velocities which we can produce (outside of ionic velocities) are the velocity of the rifle bullet (1000 meters per second) , the velocity of expansion of high-pressure steam into a vacuum (2000 meters per second), and the velocity of propagation of the detonation in high explosives (6000 meters per second). At these velocities the change of length and time is one part in 180,000 millions, 22,000 millions and 5000 millions respectively. The highest cosmic velocity probably is that of a comet passing the sun at grazing distance, 200 kil ...Lecture 8: Traveling Waves - 148 hit(s)
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LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given ^by the expression i = iQe~ut cos (0 T co - 7), ) e = e0e~ut sin (</> T ...LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given ^by the expression i = iQe~ut cos (0 T co - 7), ) e = e0e~ut sin (</> T co — 7), ) where 0 is the time angle, co the distance angle, u the exponential decre ...Lecture 11: Light Intensity And Illumination - 148 hit(s)
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LECTURE XI. LIGHT INTENSITY AND ILLUMINATION. A. INTENSITY CURVES FOR UNIFORM ILLUMINATION. 102. The distribution of the light flux in space, and thus the illumination, depends on the location of the light sources, and on their distribution curves. The character of the required illumi- nation depends on the ...LECTURE XI. LIGHT INTENSITY AND ILLUMINATION. A. INTENSITY CURVES FOR UNIFORM ILLUMINATION. 102. The distribution of the light flux in space, and thus the illumination, depends on the location of the light sources, and on their distribution curves. The character of the required illumi- nation depends on the purpose for which it is used: a general illumination of low and approximately uniform intensity for street light ...Lecture 8: Traveling Waves - 147 hit(s)
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LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given by the expression i = ioe-"^ cos ((/> T CO — 7), ^ . . e = eoe~"' sin ...LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given by the expression i = ioe-"^ cos ((/> T CO — 7), ^ . . e = eoe~"' sin ((^ =F co — 7), where <j) is the time angle, co the distance angle, u the exponential ...Chapter 8: Shaping Of Waves By Magnetic Saturation - 144 hit(s)
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CHAPTER VIII SHAPING OF WAVES BY MAGNETIC SATURATION 66. The wave shapes of current or volt^e produced by a closed magnetic circuit at moderate magnetic densities, such as are com- monly used in transformers and other induction apparatus, have 10 / ^ ^ 8- in.4 /' / -' f / '■ 1 i- ...CHAPTER VIII SHAPING OF WAVES BY MAGNETIC SATURATION 66. The wave shapes of current or volt^e produced by a closed magnetic circuit at moderate magnetic densities, such as are com- monly used in transformers and other induction apparatus, have 10 / ^ ^ 8- in.4 /' / -' f / '■ 1 i- 10 / 1 / 1 B- n.» ...Lecture 4: Chemical And Physical Effects Of Radiation - 138 hit(s)
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LECTURE IV. CHEMICAL AND PHYSICAL EFFECTS OF RADIATION. Chemical Effects. 31. Where intense radiation is intercepted by a body chemical action may result by the heat energy into which the radiation is converted. This, however, is not a direct chemical effect of radiation but an indirect effect, resulting from the energy of the radiation. Dire ...LECTURE IV. CHEMICAL AND PHYSICAL EFFECTS OF RADIATION. Chemical Effects. 31. Where intense radiation is intercepted by a body chemical action may result by the heat energy into which the radiation is converted. This, however, is not a direct chemical effect of radiation but an indirect effect, resulting from the energy of the radiation. Direct chemical effects of radiation are frequent. It i ...Lecture 13: Physiological Problems Of Illuminating Engineering - 138 hit(s)
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LECTURE XIII. PHYSIOLOGICAL PROBLEMS OF ILLUMINATING ENGINEERING. 123. The design of an illumination requires the solution of physiological as well as physical problems. Physical considera- tions, for instance, are the distribution of light-flux intensity throughout the illuminated space, as related to size, location and number of light sources, while the relation, to the satisfac- tory character of the illumination, of the direction of the light, its subdivision and diffusion, etc., are physiological questions. Very little, howe ...... ILLUMINATING ENGINEERING. 123. The design of an illumination requires the solution of physiological as well as physical problems. Physical considera- tions, for instance, are the distribution of light-flux intensity throughout the illuminated space, as related to size, location and number of light sources, while the relation, to the satisfac- tory character of the illumination, of the direction of the light, its subdivision and diffusion, etc., are physiological questions. Very little, however, is known on the latter, although the entire field of the physiological effects of the physical ...Chapter 9: Inductive Discharges - 134 hit(s)
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CHAPTER IX. INDUCTIVE DISCHARGES. 64. The discharge of an inductance into a transmission line may be considered as an illustration of the phenomena in a complex circuit comprising sections of very different constants; that is, a combination of a circuit section of high inductance and small resistance and negligible capacity and conductance, as a generating station, with a circuit of di ...... ne may be considered as an illustration of the phenomena in a complex circuit comprising sections of very different constants; that is, a combination of a circuit section of high inductance and small resistance and negligible capacity and conductance, as a generating station, with a circuit of distributed capacity and inductance, as a transmission line. The extreme case of such a discharge would occur if a short circuit at the busbars of a gen- erating station opens while the transmission line is connected to the generating station. Let r = the total resistance and L = the total inductance of the indu ...Chapter 3: The Natural Period Of The Transmission Line - 115 hit(s)
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CHAPTER III. THE NATURAL PERIOD OF THE TRANSMISSION LINE. 27. An interesting application of the equations of the long distance transmission line given in the preceding chapter can be made to the determination of the natural period of a transmis- sion line; that is, the frequency at which such a line discharges an accumulated charge of atmospheric e ...CHAPTER III. THE NATURAL PERIOD OF THE TRANSMISSION LINE. 27. An interesting application of the equations of the long distance transmission line given in the preceding chapter can be made to the determination of the natural period of a transmis- sion line; that is, the frequency at which such a line discharges an accumulated charge of atmospheric electricity (lightning), or oscillates because of a sudden change of load, as a break of ci ...Chapter 2: Long-Distance Transmission Line - 113 hit(s)
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CHAPTER II. LONG-DISTANCE TRANSMISSION LINE. 3. If an electric impulse is sent into a conductor, as a trans- mission line, this impulse travels along the line at the velocity of light (approximately), or 188,000 miles per second. If the line is open at the other end, the impulse there is reflected and returns at the same velocity. If n ...CHAPTER II. LONG-DISTANCE TRANSMISSION LINE. 3. If an electric impulse is sent into a conductor, as a trans- mission line, this impulse travels along the line at the velocity of light (approximately), or 188,000 miles per second. If the line is open at the other end, the impulse there is reflected and returns at the same velocity. If now at the moment when the impulse arrives at the starting point a second impulse, of opposite direction, is sent into the line, the return of ...Chapter 3: Standing Waves - 109 hit(s)
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CHAPTER III. STANDING WAVES. 14. If the propagation constant of the wave vanishes, h = 0, the wave becomes a stationary or standing wave, and the equa- tions of the standing wave are thus derived from the general equations (50) to (61), by substituting therein h = 0, which gives R2 = V(k2 - LCm2)2; (97) hence, if ...CHAPTER III. STANDING WAVES. 14. If the propagation constant of the wave vanishes, h = 0, the wave becomes a stationary or standing wave, and the equa- tions of the standing wave are thus derived from the general equations (50) to (61), by substituting therein h = 0, which gives R2 = V(k2 - LCm2)2; (97) hence, if k2 > LCm2, R2 = tf- LCm ...Chapter 3: Trigonometric Series - 91 hit(s)
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... . 77. The ; most ; important periodic functions in electrical engineering are the alternating currents and e.m.fs. Usually they are, in first approximation, represented by a single trigo- nometric function, as : i = io cos {O—ix))] or, e = eo sin (d—d); that is, they are assumed as sine waves. 108 ENGINEERING MATHEMATICS. f ■ . Theoretically, obviously this condition can never be perfectly attained, and frequently the deviation from sine shape is suffi- cient to require practical consideration/ especially in those cases, where the electric circuit contains electrostatic capac ...... consideration/ especially in those cases, where the electric circuit contains electrostatic capacity, as is for instance, the case with long-distance transmission lines, underground cable systems, high potential transformers, etc. (However, no matter how much the alternating or other periodic wave differs from simple sine shape — ^that is, however much the wave is '' distorted," it can always be represented by the trigonometric seriesj(3). As illustration the following applications of the trigo- nometric series to engineering problems may be considered: {A) The determination of the eq ...Chapter 2: Discussion Of General Equations - 90 hit(s)
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... have the same values of s, q, h, k. Of the four terms of each group, iv iv i3, i4 or ev ev es, e4 respectively (equations (50) and (51)), two contain the angles (qt — kl): iv e1 and iz, e3; and two contain the angles (qt + kl): i2, e2 and i4, e4. In the terms iv e^ and iz, e3, the speed of propagation of the phenomena follows from the equation qt - kl = constant, thus: ti q dt r.*1 hence is positive, that is, the propagation is from lower to higher values of I, or towards increasing I. In the terms iv e2 and i4, e4, the speed of propagation from qt + kl = constant is dl_ _q Jt ...... 51)), two contain the angles (qt — kl): iv e1 and iz, e3; and two contain the angles (qt + kl): i2, e2 and i4, e4. In the terms iv e^ and iz, e3, the speed of propagation of the phenomena follows from the equation qt - kl = constant, thus: ti q dt r.*1 hence is positive, that is, the propagation is from lower to higher values of I, or towards increasing I. In the terms iv e2 and i4, e4, the speed of propagation from qt + kl = constant is dl_ _q Jt~ ~k hence is negative, that is, the propagation is from higher to lower values of I, or towards decreasing I. Considering therefore ...Chapter 5: Free Oscillations - 90 hit(s)
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CHAPTER V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g; the wave length constant, &; the time attenuation constant, u\ the distance attenuation constant, h, and the time accel ...CHAPTER V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g; the wave length constant, &; the time attenuation constant, u\ the distance attenuation constant, h, and the time acceleration constant ...Chapter 8: Reflection And Refraction At Transition Point - 88 hit(s)
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... transition point as zero point of X, so that >l< 0 is section 1, A>0 is section 2, equations (285) assume the form A2 = B2 = C2 = D2 = blCv (349) From equations (349) and (286) it follows that c2 (A* - C22) = ct (A* - C,2) 1 and (350) c2 (B2 - D2) = c, (B2 - D2). J If now a wave in section 1, A B, travels towards transition point A = 0, at this point a part is reflected, giving rise to the reflected wave C D in section 1, while a part is transmitted and appears as main wave A B in section 2. The wave C D in sec- tion 2 thus would not exist, as it would be a wave coming ...... = C2 = D2 = blCv (349) From equations (349) and (286) it follows that c2 (A* - C22) = ct (A* - C,2) 1 and (350) c2 (B2 - D2) = c, (B2 - D2). J If now a wave in section 1, A B, travels towards transition point A = 0, at this point a part is reflected, giving rise to the reflected wave C D in section 1, while a part is transmitted and appears as main wave A B in section 2. The wave C D in sec- tion 2 thus would not exist, as it would be a wave coming towards A = 0 from section 2, so not a part of the wave coming from section 1. In other words, we can consider the circuit as c ...Chapter 12: Effective Resistance And Reactance - 87 hit(s)
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... To examine this phenomenon, first a circuit may be con- sidered, of very high inductive reactance, but negligible true ohmic resistance; that is, a circuit entirely surrounded by iron, as, for instance, the primary circuit of an alternating-current transformer with open secondary circuit. The wave of current produces in the iron an alternating mag- netic flux which generates in the electric circuit an e.ni.f. — the counter e.m.f. of self-induction. If the ohmic resistance is negligible, that is, practically no e.m.f. consuzned by the resist- ance, all the impressed e.m.f. must be consume ...... lf-induction. If the ohmic resistance is negligible, that is, practically no e.m.f. consuzned by the resist- ance, all the impressed e.m.f. must be consumed by the counter e.m.f. of self-induction, that is, the counter e.m.f. equals the impressed e.m.f.; hence, if the impressed e.m.f. is a sine wave, the counter e.m.f., and, therefore, the magnetic flux which generates the counter e.m.f., must follow a sine wave also. The alternating wave of current is not a sine wave in this case, but is distorted by hysteresis. It is possible, however, to plot the cur- rent wave in this case from the hy ...Chapter 7: Shaping Of Waves : General - 84 hit(s)
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CHAPTER VII SHAPING OF WAVES : GENERAL 69. In alternating-current engineering, the sine wave, as shown in Fig. 46, is usually aimed at as the standard. This is not duo to any inherent merit of the sine wave. For all those pm-poses, where the energy developed by the cur- rent in a resistance is the object, as for incande ...CHAPTER VII SHAPING OF WAVES : GENERAL 69. In alternating-current engineering, the sine wave, as shown in Fig. 46, is usually aimed at as the standard. This is not duo to any inherent merit of the sine wave. For all those pm-poses, where the energy developed by the cur- rent in a resistance is the object, as for incandescent lighting, heating, etc., any wave form is equally satisfact ...Chapter 23: Effects Of Higher Harmonics - 83 hit(s)
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CHAPTER XXIII. EFFECTS OF HIGHER HARMONICS. 244. To elucidate the variation in the shape of alternat- ing waves caused by various harmonics, in Figs. 175 and Fig. 175. Effect of Triple Harmonic. 176 are shown the wave-forms produced by the superposi- tion of the triple and the quintuple harmonic upon the fundamental sine wave. EFFECTS OF HIGHER HARMONICS. 399 In Fig. 175 is shown the fundamental ...CHAPTER XXIII. EFFECTS OF HIGHER HARMONICS. 244. To elucidate the variation in the shape of alternat- ing waves caused by various harmonics, in Figs. 175 and Fig. 175. Effect of Triple Harmonic. 176 are shown the wave-forms produced by the superposi- tion of the triple and the quintuple harmonic upon the fundamental sine wave. EFFECTS OF HIGHER HARMONICS. 399 In Fig. 175 is shown the fundamental sine wave and the complex waves produced by the superposition of a triple harmonic of 30 per cent the amplitu ...