Electric Field Problem: Magnitude & Force Calculation for Cell Membrane

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SUMMARY

The discussion focuses on calculating the electric field and force within a cell membrane modeled as a parallel plate capacitor with a charge density of 7.1x10^-6 C/m^2. The electric field (E) can be determined using the formula E = σ/ε₀, where σ is the charge density and ε₀ is the permittivity of free space. Additionally, the electric force (F) on a potassium ion (K+) can be calculated using F = qE, where q is the charge of the ion. These calculations provide essential insights into the behavior of ions within cellular membranes.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with parallel plate capacitors
  • Knowledge of Gauss's Law
  • Basic concepts of ion charge and behavior in electric fields
NEXT STEPS
  • Study the derivation of electric fields in parallel plate capacitors
  • Learn about Gauss's Law applications in electrostatics
  • Explore the properties of ionic movement in electric fields
  • Investigate the role of cell membranes in biological systems
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Students and professionals in physics, electrical engineering, and biophysics who are interested in electrostatics, cellular biology, and the behavior of ions in electric fields.

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Yet another problem I'm stuck on tonight...

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 7.1x10^-6 C/m^2. (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.

No clue... lol.
 
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Is it possible to model the membrane as a spherical shell? That seems to be the only way since the shape of the membrane isn't described. Just use Gauss law here.
 
They want you to treat the membrane as a parallel plate capacitor. To start, what is the relationship between the charge density on the plate of a parallel plate capacitor and it's electric field?
 

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