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Chapter 2: Long-Distance Transmission Line

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FieldValue
SourceTheory and Calculation of Transient Electric Phenomena and Oscillations
Year1909
Section IDtheory-calculation-transient-electric-phenomena-oscillations-chapter-42
Locationlines 19339-21720
Statuscandidate
Word Count7787
Equation Candidates In Section0
Figure Candidates In Section0
Quote Candidates In Section0
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 the first impulse adds itself, and so increases the second impulse; the return of this increased second impulse adds itself to the third impulse, and so on; that is, if alternating impulses succeed each other at intervals equal to the time required by an impulse to travel over the line and
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 ...
... e is one quarter wave length. 279 280 TRANSIENT PHENOMENA If then I = length of line, S = speed of light, the frequency of oscillations or natural period of the line is — '• "4? or, with I given in miles, hence S = 188,000 miles per second, it is , 47,000 /o = — j- cycles. (2) To get a resonance frequency as low as commercial frequencies, as 25 or 60 cycles, would require Z == 1880 miles for /0 = 25 cycles, and Z = 783 miles for./, - 60 cycles. It follows herefrom that many existing transmission lines are such small fractions of a qu ...
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 ...
... , - 60 cycles. It follows herefrom that many existing transmission lines are such small fractions of a quarter-wave length of the impressed frequency that the change of voltage and current along the line can be assumed as linear, or at least as parabolic; that is, the line capacity can be represented by a condenser in the middle of the line, or by condensers in the middle and at the two ends of the line, the former of four times the capacity of either of the two latter (the first approximation giving linear, the second a para- bolic distribution). Fo ...
Concept CandidateHits In SectionStatus
Frequency18seeded
Wave length12seeded
Light11seeded
Ether2seeded
Radiation2seeded
Velocity of light2seeded
Term CandidateHits In SectionStatus
wave length12seeded
ether2seeded
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  • Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
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  • Dielectricity / capacity: A Wheeler-style reading may emphasize dielectric compression, field stress, and stored potential, but this page treats that as interpretation unless Steinmetz explicitly says it.
  • Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
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