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T HE relation between spark-potential, distance, and the pressure of the gas used in the discharge-chamber was obtained by Paschen t from a long series of experiments. His conclusion has been reaffirmed by Carr :~ fi'om a most satisfactory series of observations which covered a much wider range. He found that in all the gases examined, at any particular potential-difference used, the product of the gaspressure and the length of the spark-discharge is a constant. Thomson w in developing a theory of the spark-discharge, has found that the above relation can probably be extended to include all gases and "expressed by an equation of the * Communicated biy Prof..l.J. Thomson. Read before the American

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