Electric Field in a living cell

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SUMMARY

The discussion centers on calculating the electric field within a living cell membrane, modeled as a parallel plate capacitor with an effective charge density of 5.77 x 10-6 C/m2. The electric field (E) is determined using the formula E = σ/ε₀, resulting in a value derived from the charge density and the permittivity of free space (ε₀ = 8.8542 x 10-12 F/m). Additionally, the electric force exerted on a potassium ion (K+), with a charge of +e (1.602 x 10-19 C), is calculated using the electric field obtained in part (a).

PREREQUISITES
  • Understanding of electric fields and capacitors
  • Familiarity with charge density and its units
  • Knowledge of Coulomb's law and electric force calculations
  • Basic concepts of ion charge and electron charge
NEXT STEPS
  • Study the relationship between electric field and charge density in capacitors
  • Learn about the implications of electric fields in biological systems
  • Explore the calculation of electric forces on different ions in electric fields
  • Investigate the role of membrane potentials in cellular processes
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Students in physics or biology, educators teaching about electric fields in biological contexts, and researchers interested in cellular membrane dynamics.

arod2812
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Homework Statement


The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 5.77 x 10-6 C/m2. (a) What is the magnitude of the electric field within the cell membrane? (b) Find the magnitude of the electric force that would be exerted on a potassium ion (K+; charge = +e) placed inside the membrane.


Homework Equations


I don't understand what the second part of this question entails. What does +e tell me?

The Attempt at a Solution


I think i understand that the first part is E=5.77E-6/8.8542E-12 because E=sigma/E(not)
Therefore, I replace the charge density (sigma) with the charge density for an electron??
 
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The positively charged potassium ion is missing an electron, so its charge +1.602x10^-19 coulombs, that's what +e means

I believe you did part a) right, as long as your equations and numbers are right

Regardless, it's similar to the other problem you posted. You have found the electric field in part A, and now you want to know the force exerted on a charge +e by that electric field. Same equation you used in the other problem
 

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