A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid bya membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membrane's thickness isestimated to be 98 nm and has a dielectric constant of 5.00.(a) If an average red blood cell has a mass of 1.10 × 10¬12kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m³. (Assumethe volume of blood due to components other than red blood cells is negligible.)volume1E-15m3surface area4.8E-10m2(b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates.2.2E-13(c) Calculate the charge on the surface of the membrane.2.2E-14How many electronic charges does the surface charge represent?1.4E5Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to atleast four-digit accuracy to minimize roundoff error.

thickness of membrane = 98 nm dielectric constant = 5 mass of average red blood cell = 1.10×10-12 kg…

A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid by a membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membrane's thickness is estimated to be 98 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.10 x 10-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m3. (Assume the volume of blood due to components other than red blood cells is negligible.) v m3 volume 1E-15 surface area 4.8E-10 v m2 (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. 2.2E-13 (c) Calculate the charge on the surface of the membrane. 2.2E-14 C How many electronic charges does the surface charge represent? 1.4E5

A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid by a membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membrane's thickness is estimated to be 98 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.10 x 10-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m3. (Assume the volume of blood due to components other than red blood cells is negligible.) v m3 volume 1E-15 surface area 4.8E-10 v m2 (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. 2.2E-13 (c) Calculate the charge on the surface of the membrane. 2.2E-14 C How many electronic charges does the surface charge represent? 1.4E5

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.

Electrostatic Potential and Capacitance

An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.

Question

A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid by
a membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membrane's thickness is
estimated to be 98 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 find its surface area. The density of blood is 1,100 kg/m³. (Assume
the volume of blood due to components other than red blood cells is negligible.)
volume
1E-15
m3
surface area
4.8E-10
m2
(b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates.
2.2E-13
(c) Calculate the charge on the surface of the membrane.
2.2E-14
How many electronic charges does the surface charge represent?
1.4E5
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at
least four-digit accuracy to minimize roundoff error.

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