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where Ud and U1 are experimental measurements corresponding to the tension of the <br />fish body. <br />The values calculated according to formula (1) and the experimental values <br />HE, given in Fig. 1, correspond well. Knowledge of KE in essence reduces the <br />question of determining Ud to the simpler problem of calculation U1. <br />The threshold values (Ul)n depend on the electric conductance of the water j <br />B <br />and current density S.. The nature and degree of this influence are shown in <br />Figs. 2 and 3. In Fig. 2 diagrams of the dependence of the threshold values of <br />Ul and ba on the relative electric conductance 7v are shown for the electroshock <br />Y¦ <br />reaction in the bream and pike-perch. It is clearly visible from the graphs that <br />the greatest changes in tle values (U,)„ and (S.). are observed in the area of <br />the small ratios 7i' and of small values of electric conductance of the water I.. <br />Tp <br />Graphs of the dependence of (U,)are given in Fig. 3. The sharp <br />drop in the threshold values (UI)n in the section where y. differs little from Yr <br />is particularly striking. The spread of the experimental points in this section <br />is also characteristic. The nature of the curves for the pike-perch and bream <br />differed considerably, as did the position of the points on the graphs in which <br />Tp= Y,. All this confirms the position regarding the considerable influence of <br />boundary conditions (I.,di,) on the threshold Ul in the region where Ya and 1. are <br />close. As yet it is difficult to explain the nature of the median part of the <br />graphs Together with this, determination of the overall form of this .? <br />dependence is of great significance for the forecasting of means of electric fish- <br />ing and fish-diversion devices. From the diagrams on Fig. 3, in particular, it is' <br />easily seen that in oligotrophic fresh water it is not possible to obtain stable <br />reactions from the fish, because the values (U,),, increase sharply, while for marine <br />water the minimum threshold values U, can be assessed by means of these graphs and <br />the technical parameters of the equipment calculated. Knowledge of the section in <br />which a sharp change occurs (U,), is of no less factual significance. <br />When analyzing the effects of an electric current on a fish the question of <br />the influence of body length on the threshold values of U1 is one of the main <br />questions. To establish the actual dependence (U,).=j(1p) it is above all <br />necessary to assess the influence of conditions under which the threshold values <br />in aquaria are measured on the result, allowing also for the nature of the de- <br />pendence obtained <br />w <br />s <br />c 1,0 <br />V <br />d <br />---1 <br />Pike-perch ' <br />ream <br />1 2 J 4 J 6 <br />Relative electric conductance, YOTN <br />Fig. 1. Calculated (1) experimental (2) values of the <br />distortion factor of the fish body. <br />146 <br />'O <br />U <br />;S <br />GQ <br />QS <br /> <br />0 <br />M <br />F <br />w <br />B. <br />z <br />Relative electric conductance, t oTN <br />Fig. 2. Diagram of dependence on threshold values of <br />U, and bo on the ratiouft.- <br />> 6 <br /> <br />4 <br />0 <br />u <br />u 1 <br />a <br />-2, p <br />Fig. 3. Diagram of dependence on threshold values of <br />U, on current density da in the species (A and B be- <br />ing the points at which the electric conductances of <br />the water and the fish body coincide). <br />In the first place the ratio between the size of the aquarium and the body <br />of the fish influences the values of the threshold reactions as a result of the <br />different degree of distortion of the electric field by the fish body and the <br />heterogeneity,,of a field in aquaria of different sizes. The influence of the <br />distortion of the field by the fish leads to a greater increase in values (U,), <br />the smaller the ratio of the length of the aquarium to the length of the fish. <br />The heterogeneity of the field during calculated determination and its in- <br />fluence are the more marked, the smaller the length of the fish 1,,. <br />In the second place, when determining the threshold of the reactions of fish <br />of varying length in aquaria with a constant base L, a change (Ul)n occurs be- <br />tween the electrodes,' provoked by the change in current density in the water. <br />For instance with 'a twofold decrease in the length of the fish, in order to ob- <br />tain threshold value Ul the voltage between the electrodes needs to be approxi- <br />mately doubled. This provokes an increase by as many times of current density <br />in`the water (Q.,. In accordance with the diagram of dependence (U,).=f(rp) <br />(Fig. 3) the increase in 6. leads to a decrease in (U,),,, The closer the values <br />Yo and Y•, the more marked this influence. <br />147 <br />Current density, Alm'