. Carnegie Institution of Washington publication. VOLTAIC POTENTIAL DIFFERENCE BETWEEN CONDUCTORS. 79 If the potential V = V w at / = t», two equations from which both N and Vc may be found, if the limiting potentials V^.V'^ and the electrometer current l^are severally observed. If VM is not obtainable, it may be computed from observations at t and tl = 2t as Vao = (2V- V,) I V2 and V „ = (2 V - V\) / V* Here, however, there is a difficulty, as the curves begin with a double inflection not yet explained. The times tl = 2t must therefore be esti- mated from the observations beyond the double in
. Carnegie Institution of Washington publication. VOLTAIC POTENTIAL DIFFERENCE BETWEEN CONDUCTORS. 79 If the potential V = V w at / = t», two equations from which both N and Vc may be found, if the limiting potentials V^.V'^ and the electrometer current l^are severally observed. If VM is not obtainable, it may be computed from observations at t and tl = 2t as Vao = (2V- V,) I V2 and V „ = (2 V - V\) / V* Here, however, there is a difficulty, as the curves begin with a double inflection not yet explained. The times tl = 2t must therefore be esti- mated from the observations beyond the double inflections, or the rear- ward prolongation of the curve for those observations, to meet the time axis. The initial tangents may be found in the same way, but this is not necessary, since their values are, respectively, while and Va(i + kN) ~Kt V=Va(i-kN) i-e K ,etc. A few other relations are often useful, as, for instance,. V vr = v °° v = v d -V iv 0 aV -V c °°^ a' c ' 00 V C all of which, however, have limited application because of the initial double inflection of the curves. To solve the transcendental equations the times of two observations may be chosen, so that if V and /, V and t' correspond, /' = 2t. Thus, Kt e~Kt= V'~V - V from which N = «K follows. Similarly, I 2V -V V V 00 V2 If t' = 2t and t/l = 2tl, the initial double inflection may in a measure be ignored in ,-«,-„>_ .V_-VL I, V,-V\ V. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Carnegie Institution of Washington. Washington, Carnegie Institution of Washington
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