Current-time characteristics

Since the operation of the eutectic alloy relays depends upon the magnitude of heating, which is a function of current and time, these relays also give an inverse current-time characteristics. 

To make a proper selection of HRC fuses it is essential that the current-time characteristic curves for Ihe releases of the breaker and the fuses are available from their manufacturers. 

Figure A16.4 Current - time characteristics for aluminium cables for the selection of minimum cable size for a given fault level...

Under conditions of nonlimiting interfacial kinetics the normalized steady-state current is governed primarily by the value of K y, which is the relative permeability of the solute in phase 2 compared to phase 1, rather than the actual value of or y. In contrast, the current time characteristics are found to be highly dependent on the individual K. and y values. Figure 16 illustrates the chronoamperometric behavior for K = 10, log(L) = —0.8 and for a fixed value of Kf.y = 2. It can be seen clearly from this plot that whereas the current-time behavior is sensitive to the value of Kg and y, in all cases the curves tend to be the same steady-state current in the long-time limit. This difference between the steady-state and chronoamperometric characteristics could, in principle, be exploited in determining the concentration and diffusion coefficient of a solute in a phase that is not in direct contact with the UME probe. 

Fig. 13. Current/time characteristics of an oxygen suspension electrode with CoTAA- and FePc-catalyst at Uh = 600 mV 38>...

When the adsorption/desorption kinetics are slow compared to the rate of diffusional mass transfer through the tip/substrate gap, the system responds sluggishly to depletion of the solution component of the adsorbate close to the interface and the current-time characteristics tend towards those predicted for an inert substrate. As the kinetics increase, the response to the perturbation in the interfacial equilibrium is more rapid and, at short to moderate times, the additional source of protons from the induced-desorption process increases the current compared to that for an inert surface. This occurs up to a limit where the interfacial kinetics are sufficiently fast that the adsorption/desorption process is essentially always at equilibrium on the time scale of SECM measurements. For the case shown in Figure 3 this is effectively reached when Ka = Kd= 1000. In the absence of surface diffusion, at times sufficiently long for the system to attain a true steady state, the UME currents for all kinetic cases approach the value for an inert substrate. In this situation, the adsorption/desorption process reaches a new equilibrium (governed by the local solution concentration of the target species adjacent to the substrate/solution interface) and the tip current depends only on the rate of (hindered) diffusion through solution. 

FIG. 24 DIC micrograph of the SECM-induced dissolution pit corresponding to the current-time characteristics in Figure 21. 

A related potential step approach can be used to investigate adsorption processes, wherein the adsorbate is electrochemically generated at the tip, in a mode termed reactant injection chronoam-perometry (RIC). This approach has been used, for example, to study Ag+ ion binding to phospholipid monolayers at the water-air interface, by electrodissolution of a Ag UME [6]. As the Ag/Ag couple is highly reversible, the current-time characteristics for the potentiostatic electrodissolution reaction provides direct information on mass transport between the UME and interface, from which the binding kinetics can be measured. 

Step I Assume the motor starting current versus time characteristics to be shown in Figure 12,32, and divide the... 

However, although it allowed a correct description of the current-voltage characteristics, this model presents several inconsistencies. The main one concerns the mechanism of trap-free transport. As noted by Wu and Conwell [1191, the MTR model assumes a transport in delocalized levels, which is at variance with the low trap-free mobility found in 6T and DH6T (0.04 cm2 V-1 s l). Next, the estimated concentrations of traps are rather high as compared to the total density of molecules in the materials (see Table 14-4). Finally, recent measurements on single ciystals [15, 80, 81] show that the trap-free mobility of 6T could be at least ten times higher than that given in Table 14-4. 

An important experimentally available feature is the current-voltage characteristic, from which the terminal voltage ([/v ) supplied by the electrochemical cell at the corresponding discharge current may be determined. The product of current / and the accompanying terminal voltage is the electric power P delivered by the battery system at a given time. 

For the SECMIT mode the tip current response is governed primarily by K, Kg, y, and the dimensionless tip-substrate distance, L. Here, we briefly examine the effects of these parameters on the chronoamperometric and steady-state SECMIT characteristics. All chronoamperometric data are presented as normalized current ratio versus in order to emphasize the short-time characteristics, for the reasons outlined previously [12,14-16]. Steady-state characteristics, derived from the chronoamperometric data in the long-time limit, are considered over the full range of tip-substrate separations generally encountered in SECM. 

For small K, i.e., K = 0.5 in Fig. 17, the response of the equilibrium to the depletion of species Red] in phase 1 is slow compared to diffusional mass transport, and consequently the current-time response and mass transport characteristics are close to those predicted for hindered diffusion with an inert interface. As K is increased, the interfacial process responds more rapidly to the electrochemical perturbation in phase 1. The transfer of the target species across the interface generates an enhanced flux to the UME, causing... 

The normalized steady-state current vs. tip-interface distance characteristics (Fig. 18) can be explained by a similar rationale. For large K, the steady-state current is controlled by diffusion of the solute in the two phases, and for the specific and y values considered is thus independent of the separation between the tip and the interface. For K = 0, the current-time relationship is identical to that predicted for the approach to an inert substrate. Within these two limits, the steady-state current increases as K increases, and is therefore diagnostic of the interfacial kinetics. 

FIG. 17 (a) Typical current (/)-time (t) characteristics for bromine transfer from an aqueous phase... 

The first thought experiment corresponds to dielectric measurements. It involves applying a voltage to a capacitor containing a dielectric medium at t = 0, and then holding the voltage constant at t > 0. The dependent variable is the time-dependent current which decays as dielectric relaxation of the medium occurs. From the current, the characteristic relaxation time of the time-dependent displacement ( >(r))) field can be calculated. The time is td. This is essentially a time domain analog of e(cu) dielectric measurements. 

Fig. 8. Current-voltage characteristics of two hypothetical devices of identical physical size. The gallium arsenide curve rises faster and reaches peak velocity faster than the silicon. This means that the group III-V (13-15) electrons produce significantly faster operating times in microchips. (AT T Technology)...

Summary. The semiclassical Boltzmann-Langevin method is extended to calculations of higher cumulants of current. Rs efficiency is demonstrated for mesoscopic diffusive contacts and chaotic cavities. We show that in addition to a dispersion at the inverse RC time characteristic of charge relaxation, higher cumulants of noise have a low-frequency dispersion at the inverse dwell time of electrons in the system. 

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