Electric Field in a living cell

AI Thread Summary
The discussion focuses on calculating the electric field within a living cell membrane, modeled as a parallel plate capacitor with a charge density of 5.77 x 10^-6 C/m². The first part of the homework involves using the formula E = σ/ε₀ to find the electric field, which participants confirm is correctly calculated. The second part seeks to determine the electric force on a potassium ion (K+) using its charge of +e, which is clarified as 1.602 x 10^-19 coulombs. The key takeaway is that the force on the potassium ion can be calculated using the previously determined electric field. Understanding these calculations is essential for grasping the electric interactions in cellular environments.
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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