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

In summary, the conversation discusses finding the dielectric constant, charge, and stored electric energy for an axon membrane with a thickness of 8.0×10-9 m and an area of 10.0 square mm. The equation used is C=k(eoA)/D, where ε0 is equal to 8.85×10−12 F/m.
  • #1
honor3
6
0
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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  • #2


Okay so do i use eo to be ε0 = 8.85… × 10−12 F/m??
 
  • #3


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.
 

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

1. What is capacitance?

Capacitance is the ability of a system to store an electric charge.

2. How is capacitance measured in an axon?

In an axon, capacitance can be measured by applying a small current pulse and measuring the voltage response.

3. What is the capacitance of an axon?

The capacitance of an axon can vary, but it is typically in the range of 1-2 μF/cm².

4. How does capacitance affect the transmission of electrical signals in an axon?

Capacitance plays a crucial role in the transmission of electrical signals in an axon by helping to maintain the membrane potential and enabling rapid changes in the electrical charge of the axon.

5. How does the capacitance of an axon change with age?

The capacitance of an axon can change with age due to factors such as changes in the composition of the cell membrane or the number of ion channels. However, the exact mechanisms and effects of these changes are still being studied.

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