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A model of a red blood cell portrays the cell as a spherical capacitor, a positively...

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Physics

A model of a red blood cell portrays the cell as a sphericalcapacitor, a positively charged liquid sphere of surface areaA separated from the surrounding negatively charged fluidby a membrane of thickness t. Tiny electrodes introducedinto the interior of the cell show a potential difference of 100 mVacross the membrane. The membrane's thickness is estimated to be103 nm and has a dielectric constant of 5.00.

(a) If an average red blood cell has a mass of 1.10 ✕10−12 kg, estimate the volume of the cell and thus findits surface area. The density of blood is 1,100 kg/m3.(Assume the volume of blood due to components other than red bloodcells is negligible.)

volume    m3
surface area    m2


(b) Estimate the capacitance of the cell by assuming the membranesurfaces act as parallel plates.
F

(c) Calculate the charge on the surface of the membrane.
C

How many electronic charges does the surface charge represent?

Answer & Explanation Solved by verified expert
3.7 Ratings (556 Votes)
PART aGiven thatMass of cell m 110 x 1012kgDensity d 1100 kgm3Therefore    See Answer
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