How to calculate capacitance and electric energy for an axon membrane?

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SUMMARY

The discussion focuses on calculating the capacitance and electric energy of an axon membrane, specifically addressing a membrane thickness of 8.0×10-9 m, a capacitance of 100 nF, and an area of 10.0 mm2. The dielectric constant is determined using the formula C = k(ε0A)/D, where ε0 is the permittivity of free space, valued at 8.85 × 10-12 F/m. The resting potential across the membrane is given as ΔV = -90 mV, leading to calculations for the charge ±Q on each surface and the stored electric energy.

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  • Familiarity with dielectric materials and their constants
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  • Proficiency in using the formula C = k(ε0A)/D
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honor3
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Capacitance using an axon.. :)?

Homework Statement


An axon membrane is 8.0×10-9 m thick.
a) Find the dielectric constant of the membrane, if the capacitance C is 100 nF for an area A = 10.0 square mm.
b) If the resting potential across the membrane is ΔV = - 90 mV, what is the charge ±Q on each surface A?
c) For this area of membrane at -90 mV, what is the stored electric energy?



Homework Equations


C=k(eoA)/D


The Attempt at a Solution


Basically plugging in the values however i do not know what eo is and the value of it.




Thank you for your help.
 
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Okay so do i use eo to be ε0 = 8.85… × 10−12 F/m??
 


I have no idea how an axon membrane looks, but assuming it is a parallel plate capacitor then you have the right equation. And yes, that is the right constant in SI units.
 

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