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

## Problem 65P Chapter 20

Physics with MasteringPhysics | 4th Edition

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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.

Step-by-Step Solution:

Solution 65 P:

Step 1 of 2:-

a)

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

The membrane can be considered as a parallel capacitor.

The area of the plates is,

.

The separation between the plates is,

.

The dielectric constant is,

The potential difference between the plates is,

.

We know that,

----------(1)

.

We also know that,

.

So, the energy stored in the cell membrane is .

Step 2 of 2

##### ISBN: 9780321541635

Since the solution to 65P from 20 chapter was answered, more than 238 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4th. Physics with MasteringPhysics was written by and is associated to the ISBN: 9780321541635. The full step-by-step solution to problem: 65P from chapter: 20 was answered by , our top Physics solution expert on 07/27/17, 10:59AM. The answer to “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.” is broken down into a number of easy to follow steps, and 85 words. This full solution covers the following key subjects: Cell, membrane, plate, dielectric, increased. This expansive textbook survival guide covers 32 chapters, and 3833 solutions.

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