The capacitance of biological membranes is about 1.0 μF per cm2 of membrane area, so investigators can determine the surface area of a cell membrane by using intracellular electrodes to measure the membrane's capacitive reactance. An investigator applies a 1.0 μA peak current at 40 kHz to a cell and measures the peak out-of-phase voltage--that is, the component of the voltage due to the capacitive reactance of the cell membrane--to be 0.16 V.  What is the approximate capacitance of the cell membrane? A. 20×10−11F B. 10×10−11F C. 2.5×10−11F D. 5.0×10−11F

Principles of Physics: A Calculus-Based Text
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Chapter21: Current And Direct Current Circuits
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The capacitance of biological membranes is about 1.0 μF per cm2 of membrane area, so investigators can determine the surface area of a cell membrane by using intracellular electrodes to measure the membrane's capacitive reactance. An investigator applies a 1.0 μA peak current at 40 kHz to a cell and measures the peak out-of-phase voltage--that is, the component of the voltage due to the capacitive reactance of the cell membrane--to be 0.16 V.  What is the approximate capacitance of the cell membrane?

A. 20×10−11F

B. 10×10−11F

C. 2.5×10−11F

D. 5.0×10−11F

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