Solution Found!

Physics / Physics with MasteringPhysics 4 / Chapter 19 / Problem 91GP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

Change Question

IP BIO Cell Membranes The cell membrane in a nerve cell

Chapter 19, Problem 91GP

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 91GP

IP BIO Cell Membranes The cell membrane in a nerve cell has a thickness of 0.12μ m. (a) Approximating the cell membrane as a parallel−plate capacitor with a surface charge density of 5.9 × 10−6 C/m2, find the electric field within the membrane, (b) If the thickness of the membrane were doubled, would your answer to part (a) increase, decrease, or stay the same? Explain.

Questions & Answers

QUESTION:

Problem 91GP

IP BIO Cell Membranes The cell membrane in a nerve cell has a thickness of 0.12μ m. (a) Approximating the cell membrane as a parallel−plate capacitor with a surface charge density of 5.9 × 10−6 C/m2, find the electric field within the membrane, (b) If the thickness of the membrane were doubled, would your answer to part (a) increase, decrease, or stay the same? Explain.

ANSWER:

Solution 91GP

Step 1 of 3

(a)

Here we need to calculate the electric field within the membrane. By considering the cell membrane as a parallel plate capacitor with surface charge density $\sigma{}=5.9\times{}1{0}^{-6}C/{m}^{2}$ .

Using Gauss law, we have electric flux as

$\phi{}=\frac{q}{{\epsilon{}}_{0}}$

Where $\phi{}$ is the electric flux, $q$ is charge enclosed and ${\epsilon{}}_{0}$ is permittivity of free space.

Also we know that the electric flux can be written as $\phi{}=EA$

Above equation becomes, $EA=\frac{q}{{\epsilon{}}_{0}}$

Study Tools You Might Need

Chapter: 7 Problem: 39

College Physics 1
Problem 39PE (a) Find the useful power output of an elevator motor that lifts a 2500-kg load a height of 35.0 m in 12.0 s, if it also increases the speed from rest to 4.00 m/s. Note that the total mass of the counterbalanced system is 10,000 kgso that only 2500 kg is raised in height, but the full

Chapter: 7 Problem: 5

Probability and Statistical Inference 9
As a clue to the amount of organic waste in Lake Macatawa (see Example 7.1-4), a count was made of the number of bacteria colonies in 100 milliliters of water. The number of colonies, in hundreds, for \(n = 30\) samples of water from the east basin yielded \(\begin{array}{rrrrrrrrrr} 93 & 140 & 8 & 1

Chapter: 41 Problem: 1

Campbell Biology 10
Fat digestion yields fatty acids and glycerol, whereas protein digestion yields amino acids. Both digestive processes a. occur inside cells in most animals. b. add a water molecule to break bonds. c. require a low pH resulting from HCl production. d. consume ATP.

Chapter: 15 Problem: 1

Principles of Economics 6
Give an example of a government-created monopoly. Is creating this monopoly necessarily bad public policy? Explain.

Chapter: 28 Problem: 11

Biology: Concepts and Applications 10
The heart and lungs are in the cavity. a. thoracic b. pelvic c. cranial d. abdominal

Chapter: 4 Problem: 1

Urban Economics 8
Migration to Portland In the last several months, the number of cars driving in Portland with Washington State license plates has increased dramatically. Suppose this refl ects migration from Seattle to Portland. Use two utility curves, one for Portland and a second for Seattle, to represent this mig

Chapter: 22 Problem: 9

Principles of Economics 9
The experiment called the ultimatum game illustrates that people a. play the Nash equilibrium in strategic situations. b. are motivated by the desire for instant gratification. c. care about fairness, even to their own detriment. d. make decisions that are inconsistent over time.

Chapter: 6 Problem: 6.1

Chemistry for today : general, organic, and biochemistry 9
Calculate the volume of 125 g of the following liquids: a. Acetone (d = 0.792 g/mL) b. Olive oil (d = 0.918 g/mL) c. Chloroform (d = 1.49 g/mL)

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account