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coulombs law example 5 to 8

Coulomb's Law, as elucidated by SL Arora, provides a fundamental understanding of the electrostatic force between charged particles. Here's a description: In its essence, Coulomb's Law states that the force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as: \[ F = \frac{k \cdot |q_1 \cdot q_2|}{r^2} \] Where: \( F \) is the electrostatic force between the charges, \( q_1 \) and \( q_2 \) are the magnitudes of the charges, \( r \) is the distance between the charges, and \( k \) is Coulomb's constant, approximately equal to \( 8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2 \). The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign. This law beautifully captures the intricacies of electric interactions. It implies that like charges repel each other while opposite charges attract, with the strength of this interaction depending on the magnitude of the charges and the distance between them. Coulomb's Law plays a pivotal role in understanding the behavior of charged particles in various scenarios, from the atomic scale to the macroscopic level. It's a cornerstone principle in electrostatics and finds wide application in physics and engineering, shaping our comprehension of electromagnetism.

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