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Ix-WATER ELECTRICAL MEnsummENm 15 <br />50 <br />45 <br />40 <br />35 <br />IE 30 <br />?o <br />Fig. 13. Voltage profiles for four cylin- 25 <br />ders. 20 <br />Cylinder immersion depth = 60 cm <br />Cylinder diameter = 0.64 cm - o <br />=1.27 cm - x <br />=2.54cm- <br />=5.08cm- + <br />15 <br />10 <br />5 <br />0 <br />0 <br />50 100 <br />Distance (centimeters) <br />Fig. 14. Voltage profiles for two horizon- <br />tal loops. <br />150 200 <br />o - 0.64-cm tubing with 36-cm outside diameter <br />x -1.27 cm tubing with 61-cm outside diameter <br />50 100 150 200 <br />00 <br />Distance (centimeters) <br />Voltage Gradient Profiles <br />The mathematical derivatives of the voltage pro- <br />file curves were derived using standard numerical <br />techniques (De Boor 1978) to calculate the voltage <br />gradient profiles shown in Figs. 18 through 23. <br />Each figure displays two voltage gradient curves <br />that correspond to the six electrode groups de- <br />scribed previously. For example, Fig. 13 is used to <br />develop the voltage gradient profiles of Fig. 19 for <br />cylinders having diameters of 0.64 and 5.08 cm. <br />The voltage gradient profiles for the cylinders hav- <br />ing diameters of 1.27 and 2.54 cm could also be <br />added to Fig. 19, but to simplify the graphics only <br />the two profiles that represent the extremes for a <br />given group are presented. The gradient profiles for <br />those electrodes not shown would obviously fit <br />somewhere between. <br />Except for the spheres and cylinders, for which <br />data were correlated with mathematical expres-