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ELECTROCHEMICAL METHODS Fundamentals and Applications - Allen.J.Bard

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16 P Chapter 1. Introduction <strong>and</strong> Overview of Electrode Processes<br />

Resultant (/)<br />

• Applied<br />

(E)<br />

Figure 1.2.7 Current<br />

transient (/ vs. t) resulting from<br />

a potential step experiment.<br />

(b) Current Step<br />

When the R s<br />

C d<br />

circuit is charged by a constant current (Figure 1.2.8), then equation 1.2.8<br />

again applies. Since q = Jidt, <strong>and</strong> / is a constant,<br />

E = iR K<br />

+ 4r\ dt (1.2.11)<br />

or<br />

E = i(R s<br />

+ t/C d<br />

) (1.2.12)<br />

Hence, the potential increases linearly with time for a current step (Figure 1.2.9).<br />

(c) Voltage Ramp (or Potential Sweep)<br />

A voltage ramp or linear potential sweep is a potential that increases linearly with time<br />

starting at some initial value (here assumed to be zero) at a sweep rate и (in V s" 1 ) (see<br />

Figure 1.2.10a).<br />

E = vt (1.2.13)<br />

Constant current source<br />

Figure 1.2.8<br />

circuit.<br />

Current step experiment for an RC

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