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218   Chapter Thirteen


                                  becomes insignificant, as it approaches zero when t approaches infin-
                                  ity. In this case, the expression of the stored energy can be simpli-
                                  fied by neglecting it and results proportional to the capacitance-to-
                                  ground.


                             13.4 Mitigation Strategies
                                  In flammable atmospheres, bonding and earthing can be effectively
                                  employed to prevent the accumulation of static charge over conduc-
                                  tive bodies.
                                     Equipotential bonding conductors bridge the gap existing be-
                                  tween two metal parts likely to be charged, keeping them at the same
                                  potential. In doing so, the risk of spark discharge is eliminated or
                                  greatly reduced.
                                     Earthing, instead, by solidly connecting metal bodies likely to be
                                  charged to ground, allows the draining of the static charge, preventing
                                  its accumulation. This connection to ground must have a resistance
                                  low enough so that the energy possibly being accumulated is lower
                                  than the minimum ignition energy E MIE of the flammable atmosphere.
                                  To this end, we can calculate the maximum permissible value for R,by
                                  assuming t Q > 3RC, thereby neglecting the exponential and solving
                                  Eq. (13.6) for R. Thus, we obtain the following inequality:


                                                             1  2E MIE
                                                         R <                           (13.7)
                                                             I    C
                                     For instance, let us calculate the minimum safe resistance-to-
                                  ground of a tank, whose capacitance-to-ground is C = 100 nF, bleeding
                                  a current I of 50 	A, and surrounded by a flammable atmosphere of
                                  minimum ignition energy E MIE = 10 mJ. We obtain



                                                   1       2 × 10 −3
                                            R <                    = 2.8M              (13.8)
                                                50 × 10 −6  100 × 10 −9
                                     For static charge purposes, therefore, even high values of ground
                                  resistance are suitable to prevent dangerous accumulation. Applicable
                                  standards conservatively recommend that the earth resistance should
                                  not exceed 1 M .
                                     Equipotential bonding conductors and earthing conductors used
                                  to bleed-off the charge will only carry currents in the order of the
                                  microamperes, therefore, there are no issues regarding their current-
                                  carrying capability. The mechanical strength of these conductors,
                                  though, must be guaranteed by using minimum cross-sectional ar-
                                                                         2
                                                  2
                                  eas of at least 4 mm , if aluminum, and 2.5 mm , if copper.
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