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

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SUMMARY

The potential difference across a biological membrane is approximately 80 mV, calculated using the electric field strength of 8.1 MV/m and the membrane thickness of 13 nm. Additionally, the potential difference between two points, A and B, is determined to be 7 V, derived from moving a 10 mC charge with 70 J of energy. These calculations utilize the equations V=E*R and k=e(ΔV) to establish the relationships between electric fields, charge, and potential difference.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Familiarity with basic physics equations related to electricity
  • Knowledge of charge units, specifically milliCoulombs (mC)
  • Concept of membrane thickness in nanometers (nm)
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  • Study the relationship between electric fields and potential difference in biological systems
  • Learn about the role of ion channels in generating membrane potential
  • Explore the implications of membrane potential in cellular signaling
  • Investigate the effects of varying membrane thickness on potential difference
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Students and professionals in biology, biophysics, and electrical engineering who are interested in understanding the principles of electric fields and potential differences in biological membranes.

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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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