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Page Title: Inductance of a Transmission Line
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Chapter 3 Introduction to Transmission Lines and Waveguides
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Electronics Technician Volume 07-Antennas and Wave Propagation
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ELECTROMAGNETIC FIELDS

Figure  3-1.—Two-wire  transmission  line. wires,  and  the  dielectric  (air  or  insulating  medium) between   the   wires.   The   following   paragraphs   will be  useful  to  you  as  you  study  distributed  constants on  a  transmission  line. Inductance of a Transmission Line When current flows through a wire, magnetic lines of  force  are  set  up  around  the  wire.  As  the  current increases and decreases in amplitude, the field around the  wire  expands  and  collapses  accordingly.  The energy   produced   by   the   magnetic   lines   of   force collapsing back into the wire tends to keep the current flowing in the same direction. This represents a certain amount   of   inductance,   which   is   expressed   in microhenrys  per  unit  length.  Figure  3-2  illustrates the  inductance  and  magnetic  fields  of  a  transmission line. Capacitance of a Transmission Line Capacitance also exists between the transmission line  wires,  as  illustrated  in  figure  3-3.  Notice  that the two parallel wires act as plates of a capacitor and that  the  air  between  them  acts  as  a  dielectric.  The capacitance  between  the  wires  is  usually  expressed in  picofarads  per  unit  length.  This  electric  field between  the  wires  is  similar  to  the  field  that  exists between  the  two  plates  of  a  capacitor. Figure 3-2.—Distributed inductance. Figure  3-3.—Distributed  capacitance. Resistance of a Transmission Line The  transmission  line  shown  in  figure  3-4  has electrical  resistance  along  its  length.  This  resistance is  usually  expressed  in  ohms  per  unit  length  and  is shown  as  existing  continuously  from  one  end  of  the line to the other. Figure 3-4.—Distributed resistance. Leakage Current Since  any  dielectric,  even  air,  is  not  a  perfect insulator,   a   small   current   known   as   LEAKAGE CURRENT  flows  between  the  two  wires.  In  effect, the insulator acts as a resistor, permitting current to pass  between  the  two  wires.  Figure  3-5  shows  this leakage  path  as  resistors  in  parallel  connected  between the  two  lines.  This  property  is  called  CONDUC- TANCE   (G)   and   is   the   opposite   of   resistance. Conductance in transmission lines is expressed as the reciprocal   of   resistance   and   is   usually   given   in micromhos  per  unit  length. Figure 3-5.—Leakage in a transmission line. 3-2

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