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IP BIO Cell Membranes The membrane of a living cell can be

Chapter 20, Problem 65P

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QUESTION:

Problem 65P

IP BIO Cell Membranes The membrane of a living cell can be approximated by a parallel-plate capacitor with plates of area 4.75 × 10-9 m2, a plate separation of 8.5 × 10-9 m, and a dielectric with a dielectric constant of 4.5. (a) What is the energy stored in such a cell membrane if the potential difference across it is 0.0725 V? (b) Would your answer to part (a) increase, de­crease, or stay the same if the thickness of the cell membrane is increased? Explain.

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QUESTION:

Problem 65P

IP BIO Cell Membranes The membrane of a living cell can be approximated by a parallel-plate capacitor with plates of area 4.75 × 10-9 m2, a plate separation of 8.5 × 10-9 m, and a dielectric with a dielectric constant of 4.5. (a) What is the energy stored in such a cell membrane if the potential difference across it is 0.0725 V? (b) Would your answer to part (a) increase, de­crease, or stay the same if the thickness of the cell membrane is increased? Explain.

ANSWER:

Step 1 of 3

a)

Here, we have to calculate the energy stored in the cell membrane.

The membrane can be considered as a parallel capacitor.

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