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IN-WATER ELECTRICAL MEASUREMENTS 17 <br />Fig. 17. Voltage profiles for three vertical <br />plates measured along a transect nor- <br />mal to their surface. <br />E <br />So' <br />D <br />50 <br />45 <br />40 <br />35 <br />30 <br />25 <br />20 <br />15 <br />10 <br />5 <br />Immersion depth = 15.2 cm - o <br />=30.5cm-x <br />=45.7 cm-• <br />Plates measure 122 cm wide x 0.32 cm thick <br />0 1 <br />0 <br />50 100 150 <br />Distance (centimeters) <br />Fig. 18. Profiles of voltage gradient (E) <br />and the squared value of voltage gra- <br />dient (E) for two spheres having di- <br />ameters of 15.2 and 27.7 cm. <br />200 <br />Spheres <br />E - 27.7 cm <br />???` E-16.2 cm <br />E2 -27.7 cm <br />E2-15.2 cm ~???•.__ <br />0 <br />50 100 150 200 <br />Distance (centimeters) <br />ardous position for fish in an electric field is always <br />next to the electrodes, and the fish should not be <br />allowed to touch the electrodes. <br />Figures 18 through 23 show two additional <br />curves that are calculated by taking the square of <br />each value for voltage gradient (E). These curves <br />are provided to emphasize that power density is <br />actually proportional to E2 (equation 11), and the <br />steep slope of these E2 curves demonstrates how <br />quickly power density diminishes with distance. <br />102 <br />q <br />d <br />101 <br />d <br />10° <br />10-1 <br />10-2 <br />m 10-' <br />m <br />10-4 <br />Discussion of the Voltage Gradient Vector <br />Voltage gradient is defined as a vector quantity <br />that has magnitude and direction (Rogers 1954). <br />However, the voltage gradient profiles shown in <br />Figs. 18 through 23 were developed without em- <br />phasizing any vector relation for the gradient; <br />only the magnitudes of the gradient are pre <br />sented. For these figures, two of the three direc- <br />tional components are justifiably ignored be-