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The fluids inside and outside a cell are good conductors separated by the cell w

ID: 2181944 • Letter: T

Question

The fluids inside and outside a cell are good conductors separated by the cell wall, which is a dielectric. Thus the cell has capacitance; charge may be stored on its inner and outer surfaces (see the figure below). It is a good approximation to treat the thin charged layer as a parallel-plate capacitor. Typically the wall is 1.10 10-8 m thick and has a dielectric constant of 5.00.





(a) Find the capacitance per cm2of cell membrane.


(b) Suppose the potential difference across the cell wall is0.115V. Find the magnitude of the charge stored on either side of the cell wall per cm2.


(c) Find the field strength across the membrane.

The fluids inside and outside a cell are good conductors separated by the cell wall, which is a dielectric. Thus the cell has capacitance; charge may be stored on its inner and outer surfaces (see the figure below). It is a good approximation to treat the thin charged layer as a parallel-plate capacitor. Typically the wall is 1.10 10-8 m thick and has a dielectric constant of 5.00. (a) Find the capacitance per cm^2 of cell membrane. (b) Suppose the potential difference across the cell wall is0.115V. Find the magnitude of the charge stored on either side of the cell wall per cm^2. (c) Find the field strength across the membrane.

Explanation / Answer

a)5*10-4/1.1*10-8=4.54*10^4