IP BIO Cell Membranes The membrane of a living cell can be approximated by a parallel-plate capacitor with plates of area 4.75 × 10-9 m2, a plate separation of 8.5 × 10-9 m, and a dielectric with a dielectric constant of 4.5. (a) What is the energy stored in such a cell membrane if the potential difference across it is 0.0725 V? (b) Would your answer to part (a) increase, decrease, or stay the same if the thickness of the cell membrane is increased? Explain.
Solution 65 P:
Step 1 of 2:-
Here, we have to calculate the energy stored in the cell membrane.
The membrane can be considered as a parallel capacitor.
The area of the plates is,
The separation between the plates is,
The dielectric constant is,
The potential difference between the plates is,
We know that,
We also know that,
So, the energy stored in the cell membrane is .