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A typical cell has a membrane potential of -70 mV, meaning that the potential inside the cell is 70 mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel- plate capacitor. Part A How much energy is stored in the electric field of a 50-um-diameter cell with a 7.0-nm-thick cell wall whose dielectric constant is 9.0? Express your answer to two significant figures and include the appropriate units. Uc= Submit I μA Value Request Answer Units ?

A typical cell has a membrane potential of -70 mV, meaning that the potential inside the cell is 70 mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel- plate capacitor. Part A How much energy is stored in the electric field of a 50-um-diameter cell with a 7.0-nm-thick cell wall whose dielectric constant is 9.0? Express your answer to two significant figures and include the appropriate units. Uc= Submit I μA Value Request Answer Units ?

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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### Understanding Membrane Potential and Capacitance in Cells A typical cell has a membrane potential of -70 mV. This means that the potential inside the cell is 70 mV less than the potential outside. This difference is due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. As a result, the cell wall behaves like a charged capacitor. Given that a cell's diameter is much larger than the wall thickness, it is reasonable to model the cell as a parallel-plate capacitor. #### Problem: Calculating Energy Stored in an Electric Field **Part A:** How much energy is stored in the electric field of a 50-µm-diameter cell with a 7.0-nm-thick cell wall whose dielectric constant is 9.0? **Instructions:** Express your answer to two significant figures and include the appropriate units. - **Equation for energy stored in a capacitor (U\_C)**: - Enter your calculation in the value and units fields provided. **Submit your answer** After calculating, use the submit button to confirm your response. If you need assistance, select "Request Answer" for guidance.
Transcribed Image Text:### Understanding Membrane Potential and Capacitance in Cells A typical cell has a membrane potential of -70 mV. This means that the potential inside the cell is 70 mV less than the potential outside. This difference is due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. As a result, the cell wall behaves like a charged capacitor. Given that a cell's diameter is much larger than the wall thickness, it is reasonable to model the cell as a parallel-plate capacitor. #### Problem: Calculating Energy Stored in an Electric Field **Part A:** How much energy is stored in the electric field of a 50-µm-diameter cell with a 7.0-nm-thick cell wall whose dielectric constant is 9.0? **Instructions:** Express your answer to two significant figures and include the appropriate units. - **Equation for energy stored in a capacitor (U\_C)**: - Enter your calculation in the value and units fields provided. **Submit your answer** After calculating, use the submit button to confirm your response. If you need assistance, select "Request Answer" for guidance.
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