A model of a red blood cell portrays the cell as a spherical capacitor, a positively...
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 96 nm and has a dielectric constant of 5.00.
(a) If an average red blood cell has a mass of 1e-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1100 kg/m3.
| volume | = m3 |
| surface area | = m2 |
(b) Estimate the capacitance of the cell by assuming the membrane
surfaces act as parallel plates.
_____ F
(c) Calculate the charge on the surface of the membrane.
_______ C
How many electronic (elementary) charges does the surface charge
represent?
_______
Homework Answers
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A model of a red blood cell portrays the cell as a spherical
capacitor, a positively...
A model of a red blood cell portrays the cell as a spherical capacitor, a positively...
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 95 nm and has a dielectric constant of 5.00 (a) If an average red blood cell has a...
A model of a red blood cell portrays the cell as a spherical capacitor, a positively...
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 104 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a...
A model of a red blood cell portrays the cell as a spherical capacitor, a positively...
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 104 nm and has a dielectric constant of 5.00 (a) If an average red blood cell has a...
Model a red blood cell as a spherical capacitor. The radius of a blood cell is...
Model a red blood cell as a spherical capacitor. The radius of a blood cell is about 6.00x10-6 m and the lipid membrane surrounding the cell is 0.100x10-6 m has a a) Calculate the capacitance of the cell b) Find the charge on the cell surface for a potential difference of 100 mV across c constant of 5.00. membrane, assuming that the interior of the cell has an equal opposite charge Find the number of hydrogen ions (H) that could...
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and...
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and with wall thickness of 8.8 ×10−8 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V. a. Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. b. Determine the positive charge on the outside and the equal-magnitude negative charge inside.
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and...
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and with wall thickness of 8.8 ×10−8 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V. a. Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. b. Determine the positive charge on the outside and the equal-magnitude negative charge inside.
Assume that a red blood cell is spherical with a radius of 4.3 ×10−6 m and...
Assume that a red blood cell is spherical with a radius of 4.3 ×10−6 m and with wall thickness of 8.5 ×10−8 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V. A) Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. B) Determine the positive charge on the outside and the equal-magnitude negative charge inside.
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and...
Assume that a red blood cell is spherical with a radius of 3.5 ×10−6 m and with wall thickness of 8.8 ×10−8 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V. a. Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. b. Determine the positive charge on the outside and the equal-magnitude negative charge inside.
Assume that a red blood cell is spherical with a radius of 4.3 ×10−6 m and...
Assume that a red blood cell is spherical with a radius of 4.3 ×10−6 m and with wall thickness of 8.5 ×10−8 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V. A) Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. B) Determine the positive charge on the outside and the equal-magnitude negative charge inside. The answers are not 3.025x10^-14F and not 2.42x10^-15
Part A Assume that a red blood cell is spherical with a radius of 3.6 x...
Part A Assume that a red blood cell is spherical with a radius of 3.6 x 10-ºm and with wall thickness of 8.6 x 10 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. Express your answer with the appropriate units. C= Value Units Submit Request Answer Part B Determine the positive charge on the outside...
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 95 nm and has a dielectric constant of 5.00 (a) If an average red blood cell has a...
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 104 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a...
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 104 nm and has a dielectric constant of 5.00 (a) If an average red blood cell has a...
Model a red blood cell as a spherical capacitor. The radius of a blood cell is about 6.00x10-6 m and the lipid membrane surrounding the cell is 0.100x10-6 m has a a) Calculate the capacitance of the cell b) Find the charge on the cell surface for a potential difference of 100 mV across c constant of 5.00. membrane, assuming that the interior of the cell has an equal opposite charge Find the number of hydrogen ions (H) that could...
Part A Assume that a red blood cell is spherical with a radius of 3.6 x 10-ºm and with wall thickness of 8.6 x 10 m. The dielectric constant of the membrane is about 5.0. The potential difference across the membrane is 0.080 V Assuming the cell is a parallel plate capacitor, estimate the capacitance of the cell. Express your answer with the appropriate units. C= Value Units Submit Request Answer Part B Determine the positive charge on the outside...
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