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Earth resistance R A  (Ω)                       LONGITUDINAL DIRECTION

                                                          Earth potential U E  (%)  80  100 cm  V
           100                                             100                              a

                                                            60
                      ρ E  = 100 Ωm                         40  50 cm    t = 0 cm    t
                        ρ E  = 200 Ωm                       20
            50               ρ E  = 500 Ωm
                                                                  Distance a (m) from earth electrode
                                                           TRANSVERSE DIRECTION
                                                                                            a
                                                          Earth potential U E  (%)  80  100 cm  V
                                                           100

                                                            60
                              50            100             40   50 cm               t
                 Length I of the stretched surface earth electrode (m)  20   t = 0 cm

          Figure 5.5.7  Earth resistance R A  as a function of length I of the
                  surface earth electrode in case of different earth    Distance a (m) from earth electrode
                  resistivities ρ E
                                                       Figure 5.5.8  Earth potential U E  between the supply line of the earth
                                                                electrode and the earth surface as a function of the
                                                                distance from the earth electrode in case of an strip
          Straight surface earth electrode                      earth electrode (8 m long) in different depths
          Surface earth electrodes are typically embedded horizontally in
          the ground at a depth of 0.5 to 1 m. Since the soil layer above
          the earth electrode dries out in summer and freezes in winter,   %
          the earth resistance R A  of such a surface earth electrode is   100
          calculated as if it is installed on the surface of the ground:  Max. step voltage  of the total voltage  80
                                      l                       60
                       R =     E  ln                          40
                        A
                                l    r                        20
          R A    Earth resistance of a stretched surface earth electrode
               in Ω                                                    0.5    1      1.5     2 m
                                                                                        Burial depth
          ρ E     Earth resistivity in Ωm
          l    Length of the surface earth electrode in m  Figure 5.5.9  Maximum step voltage U S  as a function of the burial
                                                                depth for a stretched strip earth electrode
          r    Quarter width of strip steel in m or radius of the round
               wire in m
                                                       In practice, it is sufficient to calculate the earth resistance us-
          Figure 5.5.7 shows the earth resistance R A  as a function of   ing the approximate formula in Table 5.5.1:
          the length of the earth electrode.                                 2
                                                                       R =      E
          Figure 5.5.8 shows the transverse and longitudinal earth po-  A      l
          tential U E  for an 8 m long strip earth electrode. The effect of the   Earth rod
          burial depth on the earth potential can be clearly seen.  The earth resistance R A  of an earth rod is calculated as follows:
                                                                                   2l
          Figure 5.5.9 illustrates the step voltage U S  as a function of   R =  E  ln
          the burial depth.                                          A    2   l    r



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