XIII 231 EXPERIMENTS ON THE CATHODE DISCHARGE Hence if an alternating part had been present, an oscillating current would have flowed through the dynamometer, and would have been strong enough to produce a perceptible deflection. The preceding experiments prove that the current flows continuously through the greater part of the metallic circuit even when an air-gap is introduced. They only enable us to form a conclusion as to the current in the tube itself if we assume that the current is uniform in all its parts. But if the number of the partial discharges amounts to 100,000 or more per second, the assumption is unsafe; indeed there is no doubt that the current-variations can only penetrate a small distance into the coil, on account of its large self-induction, and that inside it they must be effaced. Thus only a fraction, and probably a very small fraction, of the effect under con- sideration would actually occur. On this account coils are avoided in the following experiments. FIG. 28. 4. The current was sent through a Wheatstone bridge (Fig. 28) of which the four arms consisted of equal liquid resistances of 700,000 S.U.each. These were made by filling thin glass tubes 30 cm.long with a dilute solution of zinc sulphate. The mean potential difference at the points a and b-more accurately the mean square of this difference- could be observed by means of a gold-leaf electroscope: this was enclosed in a metal case connected to the point a, while the leaves themselves were connected to the point b. In this and the following experiments the gold leaves were observed under a microscope. The difference of potential which could just be observed was about one-tenth of that which existed between a and c when the current was flowing. By means of short metallic conductors the points a and c could be connected with the two coatings of a condenser of very large capacity. The resistances were so adjusted that the gold leaves showed no divergence when the current was allowed to pass in the absence of the condenser. On introducing the condenser it was again found that not the slightest divergence could be perceived. result again tells against discontinuity. For let us suppose that a very rapid intermittent current flows through the apparatus, and let us, as before, conceive of this as being This