need help asap!!!! Group Problem: Bio-electric The inner and outer surfaces of a

Question

need help asap!!!!

Group Problem: Bio-electric The inner and outer surfaces of a cell membrane carry a negative and a positive charge, respectively. Because of these charges, a potential difference of about 0,070 V exists across the membrane thickness the cell membrane is 10 m. (a) the magnitude of the electric field in the membrane (b) What is the magnitude of the charge in Coulombs surfaces of the cell membrane assuming a membrane surface area o x 10 m (c) What is electric energy stored across the cell membrane?

Explanation / Answer

a) Since the membrane can be considered an infinite sheet (its thickness is much smaller that its area) then one can assume that the electric field throughout the membrane is constant. Therefore:

V = Eds = E ds = Es

Where s is the thickness of the membrane.

Since we are interested in the absolute value of the electric field magnitude) we get:

E = V/s = 0.07/(7*10^-9) = 1*10^7 N/C

b) C = eoA/d and Q = CV

So Q = (eoAV/d) = 35.4*10^-15 F

c) Energy stored = E = 0.5CV^2 = 8.673*10^-17 J

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