232 XIII EXPERIMENTS ON THE CATHODE DISCHARGE composed of a part which flows continuously and an alternating part. Our bridge is only adjusted for the former; for the latter the arm ac has apparently a vanishing resistance, for the condenser is capable of taking in and giving out the quantities of electricity conditioned by the alternating current without any appreciable change of the potential difference between its coatings. It follows that for the alternating part the potential difference between a and c must be very small, and that between a and b must become large enough to be detected. It seemed advisable to test the correctness of this conclusion by experiment. Into the external circuit was introduced a toothed wheel having a large number of teeth, by which the current could be broken artificially up to 2000 times per second. When the current was thus interrupted the gold leaves still remained at rest, provided that the condenser was not in action. When the condenser was introduced they diverged immediately; the divergence in- creased with the rate of interruption, and was very considerable at the above-mentioned rate. A single opening and closing of the current could be recognised, when the condenser was introduced, by a slight twitching of the gold leaves. I estimate that the number of partial discharges per second would have to amount to many hundred thousand before the method of testing here used would become ineffective. course it would become ineffective if the intermittence was so rapid that in the intervals the electric waves could only travel along a small fraction of the lengths of the liquid resistances used. of 5. The leaves of a gold-leaf electroscope were connected by a short copper wire to the negative electrode; these leaves were suspended in a metallic case which could either be connected to the positive electrode by a metallic wire or to the negative electrode through a large resistance of a few million S.U. When the current was passed through the tube and the metal case connected to the positive electrode, the gold leaves diverged strongly; they showed no trace of divergence when the metal case was connected to the negative electrode through the above-mentioned resistance. This result tells against discontinuity of the discharge. For if the potential at the cathode fluctuated very rapidly between that necessary for the