What Is the Potential Difference in Biological Membranes and Electric Fields?

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The electric field across a biological membrane is about 8.1 MV/m, leading to a potential difference of approximately 80 mV for a membrane thickness of 13 nm. In a separate scenario, moving a 10 mC charge requires 70 J, resulting in a potential difference of about 7 V between points A and B. Relevant equations include V = E * R for calculating potential differences. The calculations confirm the values for both scenarios. Understanding these potential differences is crucial for studying cellular functions and electric fields in biological systems.
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1a. The electric field within the membrane separating the inside and outside of a biological cell is approximately 8.1 {MV/m} and is essentially uniform.If the membrane is 13 nm thick, what is the potential difference across the membrane?
Express your answer using two significant figures




1b. Relevant equations

V=E*R

1c. The attempt at a solution
(8.1MV/m)(13nm)=80mv


2a.It takes 70 J to move a 10 mC charge from point A to point B.What's the potential difference Delta V {AB}?
Express your answer using two significant figures.


2b.k=e(delta V)

2c.70/(10*10^-6)
 
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= 7*10^6 N/C

2d. Delta V = 7 V

1a. The potential difference across the membrane is approximately 80 mV.

2a. The potential difference between points A and B is approximately 7 V.
 
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