Ions on cell walls The membrane of a body cell has a...

Ions on cell walls The membrane of a body cell has a positive ion of charge $+e$ on the outside wall and a negative ion of charge $-e$ on the inside wall. Determine the magnitude of the electrical force between these ions if the membrane thickness is $0.80 \times 10^{-9} \mathrm{m} .$ Ignore the effect of the material in which the ions are located.

Key Concepts

Coulomb's Law

Coulomb's Law describes the electrostatic force between two point charges. It states that the magnitude of the force is directly proportional to the product of the magnitudes of the two charges and inversely proportional to the square of the distance separating them. This law is a cornerstone in electromagnetism, enabling the calculation of electrical forces in systems ranging from atomic to macroscopic scales.

Electric Charge

Electric charge is a fundamental property of matter that quantifies the ability of particles to interact via electromagnetic forces. Charges can be positive or negative and interact in a predictable manner—like charges repel and opposite charges attract. This concept is essential for understanding phenomena in both physics and chemistry, including the interactions within and between atoms and molecules.

Permittivity of Free Space

The permittivity of free space, often denoted as ??, is a constant that characterizes the ability of the vacuum to permit electric field lines. It appears as a scaling factor in Coulomb's Law, influencing the strength of the electrostatic force between charges in a vacuum. Understanding this constant is crucial when calculating forces where material effects (such as those from a dielectric) are neglected or absent.

Separation Distance

The separation distance between charges is a critical factor in determining the magnitude of the electrostatic force, as outlined in Coulomb’s Law. The force decreases with the square of the distance between the interacting charges, meaning even small changes in distance can significantly affect the force calculation. This concept underlies many practical and theoretical applications in physics, highlighting the spatial dependence of interactions.

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