Question

BIO lons on cell walls The membrane of a body cell has a positive ion of charge $+e$ on the outside wall and a negative ion of charge $-e$ on the inside wall. Determine the magnitude of the electrical force between these ions if the membrane thickness is $0.80 \times 10^{-9} \mathrm{m} .$ Ignore the effect of the material in which the ions are located.

Name: Problem 11, Chapter 14: College Physics
Uploaded: 2020-05-19T18:15:07-08:00
Duration: 1 min 49 s
Channel: Dading Chen
Description: BIO lons on cell walls The membrane of a body cell has a positive ion of charge +e on the outside wall and a negative ion of charge -e on the inside wall. Determine the magnitude of the electrical force between these ions if the membrane thickness is 0.80 ×10^-9 m . Ignore the effect of the material in which the ions are located.

   BIO lons on cell walls The membrane of a body cell has a positive ion of charge $+e$ on the outside wall and a negative ion of charge $-e$ on the inside wall. Determine the magnitude of the electrical force between these ions if the membrane thickness is $0.80 \times 10^{-9} \mathrm{m} .$ Ignore the effect of the material in which the ions are located.

College Physics

Eugenia Etkina,… 1st Edition

Chapter 14, Problem 11

Instant Answer

Solved by Expert Dading Chen

05/19/2020

Step 1

Step 1: We know that the electrical force between two charges can be calculated using Coulomb's law, which is given by the formula: \[F = k \frac{|q_1 q_2|}{r^2}\] where $F$ is the force, $k$ is Coulomb's constant (\(9 \times 10^9 \, \text{N} \cdot Show more…

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BIO lons on cell walls The membrane of a body cell has a positive ion of charge $+e$ on the outside wall and a negative ion of charge $-e$ on the inside wall. Determine the magnitude of the electrical force between these ions if the membrane thickness is $0.80 \times 10^{-9} \mathrm{m} .$ Ignore the effect of the material in which the ions are located.

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Key Concepts

Coulomb's Law

This fundamental law in electrostatics quantifies the force between two point charges. It states that the magnitude of the electrical force between two charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. The constant of proportionality (often denoted as k) encapsulates the medium's properties, which in a vacuum is represented by a fixed value.

Distance Dependence of Electrostatic Forces

In the context of Coulomb’s law, the inverse square relationship between force and distance highlights that even small changes in the separation between charges can lead to significant differences in the resulting force. Understanding this concept is crucial when calculating forces over microscopic distances, such as those encountered in biological membranes or other nanoscale systems.

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