Electric Potential Across a Cell Membrane In a typical...

Electric Potential Across a Cell Membrane In a typical living cell, the electric potential inside the cell is $0.070 \mathrm{V}$ lower than the electric potential outside the cell. The thickness of the cell membrane is $0.10 \mu \mathrm{m}$. What are the magnitude and direction of the electric field within the cell membrane?

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Key Concepts

Electric Potential Difference

Electric potential difference, often simply called voltage, represents the work done per unit charge to move a charge between two points. It is essential for determining how energy is distributed in an electric field and is directly related to the force that drives electric current in various systems.

Relationship Between Electric Field and Electric Potential

The relationship between the electric field and electric potential is mathematically expressed as the negative gradient of the potential. This means that the electric field points in the direction of the greatest rate of decrease in potential, and its magnitude is determined by how swiftly the potential changes over a given distance. This is a key concept in both electrostatics and various applications involving energy conversion and force calculations.

Electric Field

The electric field is a vector quantity that describes the force per unit charge experienced by a charged particle at any point in space. It is fundamental to understanding how charges interact within electric and magnetic phenomena and is typically represented by the negative gradient of the electric potential, indicating both magnitude and direction.

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