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.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.10OQ: (i) A battery is attached to several different capacitors connected in parallel. Which of the...
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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.
Transcribed Image Text: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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