An Investigation of the Method of Measuring Ionic Mobilities By Observations On

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In system B, an element of charge will have moved a distance proportional to ~V dT. Now, since v dt V dT, corresponding elements of charge will be in corresponding positions at corresponding times. Thus the fields in the two 'systems are everywhere the same at corresponding times.
Let us go back to the actual experiment. Suppose that we have a certain concentration of positive ions in air in the space between B' and C' and we apply a field to drive these ions to C. A certain amount of charge be
...comes lost during the time it takes the ions to get across. We have now determined what this loss is. Suppose that we have the same concentration of ions in another gas. In the time it takes these ions to be drawn across, under the same external field (this time being greater or less than in the case of positive ion in air, according to whether the mobility is less than or greater than that of the positive ion in air), the same amount of charge will be lost. Thus if the initial densities were the same, the amount lost the same, the part actually measured will be the same in both cases.

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