A K^+ ion and a Cl^- ion are directly across from each other...

A $\mathrm{K}^{+}$ ion and a $\mathrm{Cl}^{-}$ ion are directly across from each other on opposite sides of a membrane $9.0 \mathrm{~nm}$ thick. What is the electric force on the $\mathrm{K}^{+}$ ion due to the $\mathrm{Cl}$ ion? Ignore the presence of other charges.

Key Concepts

Distance Dependence in Electrostatics

The force between two charges as dictated by Coulomb's Law is highly dependent on the distance separating them. Specifically, the force diminishes with the square of the distance between the charges, known as the inverse-square law. This relationship highlights the significant effect that even small changes in distance can have on the magnitude of the electric force in electrostatic interactions.

Coulomb's Law

Coulomb's Law is a fundamental principle that describes the force between two point charges. According to this law, the magnitude of the electric force between two charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This law is central to understanding interactions between charged particles in electrostatics.

Electric Charge

Electric charge is an intrinsic property of matter that leads to electromagnetic interactions. Charged particles interact by exerting forces on one another, with like charges repelling and opposite charges attracting. The concept of quantized charge, often measured in multiples of the elementary charge, underpins many phenomena in physics.

Permittivity of Free Space

The permittivity of free space, often denoted by ??, is a constant that characterizes the ability of a vacuum to support electric fields. It plays a key role in Coulomb's Law by determining the strength of the electric force between two charges in a vacuum. This concept is fundamental when calculating electrostatic interactions in a medium that approximates free space.

Transcript

Please give Ace some feedback