236 XIII EXPERIMENTS ON THE CATHODE DISCHARGE are connected with the coatings of a large condenser; for it then often takes place from a state of things in which the separate discharges can be distinguished by the eye. Once the change has taken place, the switching of the condenser in or out of circuit has not the slightest effect upon the appear- ance of the discharge. The general conclusion which I draw from the experiments described is that the discharges tested were continuous: from this I further conclude that the battery-discharge in general is to be regarded as continuous, excepting when it exhibits the known criteria of discontinuity; further, that the dis- charges of an induction-coil, whose period may, be between 1000 and of a second according to the size of the apparatus, are to be regarded as being continuous during this interval. In order to establish these conclusions fully, it is necessary to show that the considerations which lead to the opposite conclusion cannot be regarded as decisive. These conclusions appear chiefly to depend upon the following experimental results: (1) that a weak current (e.g. such as an induction- machine gives) is always discontinuous, and does not become continuous even when the partial discharges succeed each other at the rate of several thousand per second; (2) that the heating effect in a gas-tube is not proportional to the square of the current, but to the current itself; and (3) that in accordance with this the potential difference at the ends of the tube does not increase with increasing current, but per- found sists at the value which enables the weakest current to traverse the tube. In order to show that these results do not necessarily prove discon- tinuity, I shall make use of a simple mechanical analogue. The arrangement which I shall de- scribe is such that it might in many respects, -and at any rate in those under consideration, -replace a gas-tube as a conductor of electricity, and nevertheless a current would flow continu- ously through it under certain conditions. Let A (Fig. 29) represent the anode, and let this be connected by a metallic spring or other elastic good conductor with the weight a FIG. 29.