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Chapter 9: High-Frequency Conductors

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FieldValue
SourceTheory and Calculation of Transient Electric Phenomena and Oscillations
Year1909
Section IDtheory-calculation-transient-electric-phenomena-oscillations-chapter-49
Locationlines 27003-27760
Statuscandidate
Word Count2899
Equation Candidates In Section0
Figure Candidates In Section0
Quote Candidates In Section0
CHAPTER IX. HIGH-FREQUENCY CONDUCTORS. 80. As the result of the phenomena discussed in the preceding chapters, conductors intended to convey currents of very high frequency, as lightning discharges, high frequency oscillations of transmission lines, the currents used in wireless telegraphy, etc., cannot be calculated by the use of the constants derived at low frequency, but effective resistance and inductance, and therewith the power consumed by the conductor, and the voltage drop, may be of an entirely different magnitude from the values which would be found by using the usual values of resistance and induc- tance. In conductors such as are used in the connections and the discharge path of lightning arresters and surge protectors, the unequal current distribution in the conductor (Chapter VII) and the power and voltage consumed by electric radiation, due to the
CHAPTER IX. HIGH-FREQUENCY CONDUCTORS. 80. As the result of the phenomena discussed in the preceding chapters, conductors intended to convey currents of very high frequency, as lightning discharges, high frequency oscillations of transmission lines, the currents used in wireless telegraphy, etc., ca ...
... nce from the return conductor, X = the conductivity of conductor material, fi. = the permeability of conductor material, / = the frequency, S = the speed of light = 3 X 1010 cm., and (1) a = — — = the wave length constant, o the true ohmic resistance is the ohmic reactance, low frequency value is *o = 2 7r/70 1 2 loge f + ^l 10~9 ohms; (3) or, reduced to common logarithms by dividing by log e, x0 = 2 TT/Z f4.6 log^ + |) 10~9 ohms. (4) \ l>r ** The equivalent depth of penetration of the current into the con- ductor, from Chapter VII, (40 ...
... . In conductors such as are used in the connections and the discharge path of lightning arresters and surge protectors, the unequal current distribution in the conductor (Chapter VII) and the power and voltage consumed by electric radiation, due to the finite velocity of the electric field (Chapter VIII), require con- sideration. The true ohmic resistance in high frequency conductors is usually entirely negligible compared with the effective resistance resulting from the unequal current distribution, and still greater may be, at very high frequency, the effe ...
... erted upon bodies near the path of a lightning stroke, as "side discharge." The inductance is reduced by the unequal current distribution in the conductor, which, by deflecting most of the current into the outer layer of the conductor, reduces or practically eliminates the magnetic field inside of the conductor. The lag of the mag- netic field in space, behind the current in the conductor, due to the finite velocity of radiation, also reduces the inductance to less than that from the conductor surface to a distance of one- half wave. An exact determina ...
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Frequency38seeded
Radiation21seeded
Light7seeded
Wave length3seeded
Magnetic permeability2seeded
Term CandidateHits In SectionStatus
wave length3seeded
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