4. A membrane of a living cell can be approximated as a set of parallel plate capacitors with the inner surface one plate and the outer surface as the other plate. Then the membrane fills the "gap" between these plates with its dielectric constant of 5. Suppose the inner and outer surfaces each have an area of 4.0x109 m² and the membrane is 9.5 nm thick. If the potential across the membrane is 45 mV: a. What is the capacitance of the membrane? b. How much charge is on the outer surface? (You can't say if it is positive or negative from the information given so give your answer as ±) What is the energy stored in this charge arrangement? C.

4. A membrane of a living cell can be approximated as a set of parallel plate capacitors with the inner surface one plate and the outer surface as the other plate. Then the membrane fills the "gap" between these plates with its dielectric constant of 5. Suppose the inner and outer surfaces each have an area of 4.0x109 m² and the membrane is 9.5 nm thick. If the potential across the membrane is 45 mV: a. What is the capacitance of the membrane? b. How much charge is on the outer surface? (You can't say if it is positive or negative from the information given so give your answer as ±) What is the energy stored in this charge arrangement? C.

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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Question

4. A membrane of a living cell can be approximated as a set of parallel plate capacitors with the inner
surface one plate and the outer surface as the other plate. Then the membrane fills the "gap"
between these plates with its dielectric constant of 5. Suppose the inner and outer surfaces each
have an area of 4.0x109 m² and the membrane is 9.5 nm thick. If the potential across the membrane
is 45 mV:
a. What is the capacitance of the membrane?
b. How much charge is on the outer surface? (You can't say if it is positive or negative from
the information given so give your answer as ±)
What is the energy stored in this charge arrangement?
C.

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