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12 BIoLoGICAL REPORT 11 <br />simply moved horizontally along the beam while <br />recording the voltmeter and distance readings. <br />The voltage profiles for the cylinders were <br />measured at a separation of 2.7 m. This distance <br />was increased to 4 in for the spheres, loops, Wis- <br />consin arrays, and vertical plates. The effect of <br />close electrode spacing is to possibly cause the <br />middle portion of the S-curve to display an exag- <br />gerated slope because mutual coupling may exist <br />between the two electric fields. The middle of the <br />S-curve should display a minimal slope when the <br />two electrodes are not interacting. In retrospect, <br />it would have been better to measure all of the <br />electrodes with a separation of 4 in, but this incon- <br />sistency is not judged detrimental in the following <br />experimental results. <br />Presentation of In-water <br />Electrode Measurements <br />Data are presented for 18 electrode configura- <br />tions in a generalized format that can apply to a <br />variety of electrofishing requirements. The follow- <br />ing includes a table listing the empirical resistance <br />values, a table comparing the spatial electric fields <br />generated by each type of electrode, a set of voltage <br />profiles, a graphic summary displaying calcula- <br />tions of voltage gradient and the squared values of <br />voltage gradients, and a discussion regarding the <br />voltage gradient vector. <br />Values of Electrode Resistance <br />The calculated resistance values for the 18 elec- <br />trode configurations are presented in Table 1. <br />Adequate spatial separation was provided be- <br />tween the electrodes to ensure minimal coupling <br />between the electric fields; therefore, the resis- <br />tance values are representative of a single, iso- <br />lated electrode. All values of electrode resistance <br />have been normalized for water having an electri- <br />cal conductivity of 100 pS/cm, but these resis- <br />tances can readily be converted for actual field <br />applications to any value of water conductivity by <br />applying equation 3. The resistances presented in <br />Table 1 and Fig. 3 are directly applicable to any <br />electrofishing system using these particular elec- <br />trode configurations. <br />Boat hulls are often wired as cathodes when <br />electrofishing with direct current or pulsed direct <br />current, and it would have been desirable to pre- <br />sent resistance measurements for various sizes of <br />hulls in this report. However, the dimensions of the <br />indoor test facility precluded this opportunity. Cer- <br />tainly, boat hulls can be measured by the proce- <br />dures already described, but the awkward logistics <br />of having to interwire between two boats (each boat <br />being an electrode) may be avoided by considering <br />the following interactive solution. First, determine <br />the electrical resistance of the anodes by the pro- <br />cedures already described. The metal-to-water in- <br />terface of a boat hull is large in comparison to that <br />of the anodes, so most of the electrode resistance <br />is associated with the anodes. Approximate electri- <br />cal calculations may be performed by assuming <br />that the hull's resistance is one-tenth that of the <br />anode resistance. Based on these initial calcula- <br />tions, the equipment may be operated and the <br />estimated value of the hull resistance corrected by <br />using the actual voltage and current readings dis- <br />played at the control panel. <br />Table 1. Electrical resistance of various electrode <br />configurations.' <br />Electrical <br />resistance <br />Electrode configuration (ohms) <br />Spheres <br />15.2 cm 89 <br />27.7 cm 55 <br />Cylinders (60-cm length) <br />0.64 cm 142 <br />1.27 cm 117 <br />2.54 cm 99 <br />5.08 cm 81 <br />Horizontal loops <br />0.64 X 36 cm 86 <br />1.27X61 cm 46 <br />Wisconsin array (60-cm rods, 30.5-cm ring) <br />four rods at 0.64 cm 57 <br />six rods at 0.64 cm 50 <br />four rods at 2.54 cm 46 <br />six rods at 2.54 cm 43 <br />Wisconsin array (60-cm rods, 58-cm ring) <br />four rods at 0.64 cm 45 <br />four rods at 2.54 cm 37 <br />six rods at 2.54 cm 31 <br />Vertical plates (0.32 cm thick x 122 cm wide) <br />15.2 cm immersion 54 <br />30.5 cm immersion 39 <br />45.7 cm immersion 30 <br />'All electrodes constructed with aluminum materials. <br />bMeasurements are for diameters unless stated otherwise. <br />e Single electrode in 100-pS/cm water.