Type your question here A model of a red blood cell portrays the cell as a capac
ID: 2279287 • Letter: T
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A model of a red blood cell portrays the cell as a capacitor with two spherical plates. It is a positively charged conducting liquid sphere of area A, separated by an insulating membrane of thickness t from the surrounding negatively charged conducting fluid. Tiny electrodes introduced into the cell show a potential difference of 100 mV across the membrane. Take the membrane's thickness as 100 nm and its dielectric constant as 5.00. Assume that a typical red blood cell has a mass of 1.11 times 10-12 kg and density 1,100 kg/m3. Calculate its volume and its surface area. Find the capacitance of the cell. Calculate the charge on the surfaces of the membrane. How many electronic charges does this charge represent?Explanation / Answer
volume=mass/density=1.009*10^(-15) m^3
so (4/3)*pi*radius^3=volume
radius=6.22 um
so area=4*pi*radius^2=4.865*10^(-10) m^2
b)capcitance=5*8.854*10^(-12)*area/thickness=0.2153 pF
c)charge=capacitance*voltage=2.153*10^(-14) coloumb
no of electrons=charge/(1.6*10^(-19))=134.615*10^3
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