According to Coulomb's law, rank the interactions between...

According to Coulomb's law, rank the interactions between charged particles from lowest potential energy to highest potential energy. \begin{equation} \begin{array}{l}{\text { a. a } 1+\text { charge and a } 1-\text { charge separated by } 100 \mathrm{pm}} \\ {\text { b. } a 2+\text { charge and a } 1-\text { charge separated by } 100 \mathrm{pm}} \\ {\text { c. a } 1+\text { charge and a } 1+\text { charge separated by } 100 \mathrm{pm}} \\ {\text { d. a } 1+\text { charge and a } 1-\text { charge separated by } 200 \mathrm{pm}}\end{array} \end{equation}

According to Coulomb's law, rank the interactions between charged particles from lowest potential energy to highest potential energy.
\begin{equation}
\begin{array}{l}{\text { a. a } 1+\text { charge and a } 1-\text { charge separated by } 100 \mathrm{pm}} \\ {\text { b. } a 2+\text { charge and a } 1-\text { charge separated by } 100 \mathrm{pm}} \\ {\text { c. a } 1+\text { charge and a } 1+\text { charge separated by } 100 \mathrm{pm}} \\ {\text { d. a } 1+\text { charge and a } 1-\text { charge separated by } 200 \mathrm{pm}}\end{array}
\end{equation}

Key Concepts

Electric Potential Energy

Electric potential energy represents the energy stored in a system of charges due to their positions relative to each other. It is determined by the product of the charges, the separation distance, and the permittivity of the medium. Negative potential energy indicates an attractive interaction between opposite charges, while positive potential energy is associated with repulsive interactions between like charges.

Charge Sign and Magnitude

The sign and magnitude of a charge critically influence the nature and strength of the interaction. Oppositely charged particles attract one another, resulting in negative potential energy, whereas like charges repel, leading to positive potential energy. The magnitude of the charges also affects the interaction strength, with higher magnitudes leading to stronger forces and larger potential energies.

Distance Dependence

The separation distance between charged particles plays a key role in determining interaction strength. According to Coulomb's law, the potential energy and force decrease with increasing distance between the charges. This distance-dependent behavior is crucial for predicting how changes in spatial configuration affect the energy and dynamics of the charged system.

Coulomb's Law

Coulomb's law is a fundamental principle in electrostatics that quantifies the force between two charged particles. It states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This principle is essential for understanding interactions in systems of charged particles.

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