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Electric Currents Through the Human Body        89



























                                  FIGURE 5.19 Time–voltage safety curve in ordinary locations.

                                                                                    p
                                  of V ST becomes the permissible prospective touch voltage V human
                                                                                   ST
                                  beings can withstand for the maximum amount of time t, without
                                  suffering ventricular fibrillation.
                                     By solving Eq. (5.5) for all the values of V ST and Z 2H-2F  in Table 5.2,
                                                                             B
                                  we can build the time–voltage safety curve in standard conditions, as
                                  indicatively shown in Fig. 5.19.
                                     It is apparent that as the touch voltage increases, the maximum
                                  permissible contact time decreases. The time–voltage safety curve is the
                                  “damage” curve for human beings: any combination of time and volt-
                                  age above this curve is dangerous.

                                    Example 5.2 Calculate the body current I B due to a touch with a metal part
                                    energized at V ST = 200 V, in the case of dry conditions; current path hands-
                                    to-feet with medium surface area of contact for hands (order of magnitude
                                      3
                                          2
                                    10 mm , R Hand-Hand medium area  = 2.2k ); large surface area of contact for feet;
                                            B
                                    R BG = 1000  . Figure 5.20 schematically represents the data of the example.
                                            Hand-Hand large area
                                    Solution  R         (=2R l )=1.275k (fromFig.5.15incorrespondence
                                            B
                                    to 200 V).
                                        Hand-Foot large area  Hand-Hand large area
                                       R B         = 0.8R B          = 1.02 k  (the hand-to-foot body
                                                                          Hand-Hand large area
                                    resistance is obtained by reducing by 20% the value R  ).
                                                                          B
                                        Hand-Trunk large area  Hand-Hand large area
                                       R            = 0.5R           = 0.637 k  (as said, the trunk
                                        B                B
                                    has negligible resistance).
                                        Trunk-Foot large area  Hand-Foot large area  Hand-Trunk large area
                                       R            = R            − R
                                        B              B              B
                                                         Hand-Hand large area  Hand-Hand large area
                                                    = 0.8R            − 0.5R
                                                         B                B
                                                         Hand-Hand large area
                                                    = 0.3R B          = 0.382 k .
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