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Cell membranes (the walled enclosure around a cell) are typically about d = 7.0 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but opposite charge densities build up on the inside and outside faces of such a membrane, and these charges prevent additional charges from passing through the cell wall. We can model a cell membrane as a parallel-plate capacitor, with the membrane itself containing proteins embedded in an organic material to give the membrane a dielectric constant of about 11. (See (Figure 1).) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Effect of a dielectric. Figure + d < 1 of 1 Outside axon + + + + + + + + Axon membrane Inside axon > ▼ Part A What is the capacitance per square centimeter of such a cell wall? Express your answer in microfarads per squared centimeter. 15| ΑΣΦ C = Submit ▾ Part B Request Answer E = a Submit Request Answer PRE ? In its normal resting state, a cell has a potential difference of 85 mV across its membrane. What is the electric field inside this membrane? Express your answer in volts per meter. IVE ΑΣΦ 3 μF/cm² ? V/m

Cell membranes (the walled enclosure around a cell) are typically about d = 7.0 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but opposite charge densities build up on the inside and outside faces of such a membrane, and these charges prevent additional charges from passing through the cell wall. We can model a cell membrane as a parallel-plate capacitor, with the membrane itself containing proteins embedded in an organic material to give the membrane a dielectric constant of about 11. (See (Figure 1).) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Effect of a dielectric. Figure + d < 1 of 1 Outside axon + + + + + + + + Axon membrane Inside axon > ▼ Part A What is the capacitance per square centimeter of such a cell wall? Express your answer in microfarads per squared centimeter. 15| ΑΣΦ C = Submit ▾ Part B Request Answer E = a Submit Request Answer PRE ? In its normal resting state, a cell has a potential difference of 85 mV across its membrane. What is the electric field inside this membrane? Express your answer in volts per meter. IVE ΑΣΦ 3 μF/cm² ? V/m

College Physics
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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Cell membranes (the walled enclosure around a cell) are typically about d = 7.0 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but opposite charge densities build up on the inside and outside faces of such a membrane, and these charges prevent additional charges from passing through the cell wall. We can model a cell membrane as a parallel-plate capacitor, with the membrane itself containing proteins embedded in an organic material to give the membrane a dielectric constant of about 11. (See (Figure 1).) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Effect of a dielectric. Figure + d 1 of 1 Outside axon + + + + + + + + Axon membrane Inside axon ▼ Part A What is the capacitance per square centimeter of such a cell wall? Express your answer in microfarads per squared centimeter. ΙΜΠΙ ΑΣΦ C = Submit Part B E Request Answer Submit In its normal resting state, a cell has a potential difference of 85 mV across its membrane. What is the electric field inside this membrane? Express your answer in volts per meter. VE ΑΣΦ ? Request Answer μF/cm² ? V/m
Transcribed Image Text:Cell membranes (the walled enclosure around a cell) are typically about d = 7.0 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but opposite charge densities build up on the inside and outside faces of such a membrane, and these charges prevent additional charges from passing through the cell wall. We can model a cell membrane as a parallel-plate capacitor, with the membrane itself containing proteins embedded in an organic material to give the membrane a dielectric constant of about 11. (See (Figure 1).) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Effect of a dielectric. Figure + d 1 of 1 Outside axon + + + + + + + + Axon membrane Inside axon ▼ Part A What is the capacitance per square centimeter of such a cell wall? Express your answer in microfarads per squared centimeter. ΙΜΠΙ ΑΣΦ C = Submit Part B E Request Answer Submit In its normal resting state, a cell has a potential difference of 85 mV across its membrane. What is the electric field inside this membrane? Express your answer in volts per meter. VE ΑΣΦ ? Request Answer μF/cm² ? V/m
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