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Coulombs Law
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Mathematical Formulation
The magnitude of the electrostatic force ($\mathbf{F}e$) between two point charges, $q1$ and $q_2$, separated by a distance $r$ in a vacuum, is given by:
$$Fe = ke \frac{|q1 q2|}{r^2}$$ -
Electrostatic Interaction
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Classical Description: Coulomb's Law
The classical description of the electrostatic interaction stems from the work of Charles-Augustin de Coulomb. For two point charges, $q1$ and $q2$, separated by a distance $r$, the magnitude of the force $F$ is given by:
$$F = ke \frac{|q1 q_2|}{r^2}$$ -
Electrostatic Interaction
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Field Theory and Potential Energy
The concept of the electric field ($\mathbf{E}$) provides a convenient formalism to describe the action at a distance inherent in the electrostatic interaction. A charge $q$ placed in an electric field $\mathbf{E}$ experiences a force $\mathbf{F} = q\mathbf{E}$. The electric field generated by a point charge $q_1$ at a distance $r$ is:
$$\mathbf{E} = ke \frac{q1}{r… -
Inverse Square Law
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Electromagnetism (Coulomb's Law)
The static electrostatic force ($\text{F}e$) between two point charges ($q1$ and $q_2$) is governed by Coulomb's Law, which exhibits the same inverse-square dependence:
$$\text{F}e = ke \frac{q1 q2}{r^2}$$