Consider a portion of a cell membrane that has a thickness of 7.50 nm and 1.9 um x 1.9 um in area. A measurement of the potential difference across the inner and outer surfaces of the membrane gives a reading of 90.5 mV. The resistivity of the membrane material is 1.30 x 107 Omega • m.  Determine the amount of current that flows through this portion of the membrane.

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Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.