What is the electric force on the chloride ion in the lower...

What is the electric force on the chloride ion in the lower righthand corner in the diagram? Since the ions are in water, the "effective charge $^{n}$ on the chloride ions $(\mathrm{Cl})$ is $-2 \times 10^{-21} \mathrm{C}$ and that of the sodium ions $\left(\mathrm{Na}^{+}\right)$ is $+2 \times 10^{-21} \mathrm{C}$. The effective charge is a way to account for the partial shielding due to nearby water molecules. Assume that all four ions are coplanar.

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Key Concepts

Electric Force

Electric force is the attraction or repulsion between charged particles. It is a vector quantity, meaning it has both magnitude and direction, and its interactions are governed by fundamental laws such as Coulomb's law.

Coulomb's Law

Coulomb's law quantifies the electric force between two point charges. It states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them, with a proportionality constant that depends on the medium through which the force acts.

Effective Charge in a Dielectric Medium

In a medium like water, the presence of polar molecules surrounds ions and partially shields their charges. The effective charge accounts for this shielding effect, representing the reduced charge that is actually involved in electrostatic interactions.

Vector Addition of Forces

When multiple charges exert forces on a single charge, the net force experienced by that charge is the vector sum of the individual forces. This requires taking into account both the magnitude and the direction of each force to find the overall resultant force.

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