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Equations are derived that exactly describe the current-time behavior of a membrane-covered oxygen sensor, following the imposition of a polarizing potential to the previously equilibrated cell. The role of the various geometric, transport, and solubility factors is evaluated without any restriction being placed upon the magnitudes of these factors. The equations are analyzed to predict the duration of cottrellian behavior, and the interval before the onset of the steady state, for sensors of practical importance. ) unless CC License in place (see abstract). ecsdl.org/site/terms_use address. Redistribution subject to ECS terms of use (see 128.218.248.209 Downloaded on 2015-03-29 to IP Vol. 131, No. 8 ) unless CC License in place (see abstract). ecsdl.org/site/terms_use address. Redistribution subject to ECS terms of use (see 128.218.248.209 Downloaded on 2015-03-29 to IP