Three Conductor Transmission Line Theory and Origin of Electromagnetic Radiation and Noise

  • Toki Hiroshi
    Research Center for Nuclear Physics (RCNP), Osaka University
  • Sato Kenji
    Research Center for Nuclear Physics (RCNP), Osaka University National Institute of Radiological Sciences (NIRS)

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We construct a new multiconductor transmission-line theory with coefficients of potential and inductance. We provide coupled differential equations for potential and electric current with coefficients that are given by geometrical configurations of a transmission-line system. We provide a general solution to coupled differential equations explicitly for three-conductor transmission-lines. We derive coupled differential equations for the normal and common modes of lines 1 and 2, where common-mode current goes through line 3. The common mode acts as an antenna for radiating electromagnetic waves and any electromagnetic devices and conductors placed around the major conductor transmission-lines (lines 1 and 2) act as receivers of electromagnetic waves. This is the source of electromagnetic noise in the circumstance around the transmission-line system. The transmission-line system receives noise from the circumstance through the common mode.

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