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Detailed Explanation: Coulomb's Law Video Lecture | Physics for JEE Main & Advanced

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FAQs on Detailed Explanation: Coulomb's Law Video Lecture - Physics for JEE Main & Advanced

1. What is Coulomb's Law and how is it mathematically expressed?
Ans.Coulomb's Law describes the electrostatic force between two charged objects. It states that the magnitude of the force \( F \) between two point charges \( q_1 \) and \( q_2 \) is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance \( r \) between them. The mathematical expression is given by: \[ F = k \frac{|q_1 \cdot q_2|}{r^2} \] where \( k \) is Coulomb's constant, approximately \( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \).
2. What is the significance of the sign of the charges in Coulomb's Law?
Ans.The sign of the charges in Coulomb's Law determines the nature of the force between the charges. If both charges are of the same sign (either positive or negative), the force is repulsive, meaning the charges push away from each other. If the charges are of opposite signs, the force is attractive, meaning the charges pull towards each other. This interaction is crucial in understanding how charged particles behave in electric fields.
3. How does distance affect the force between charged objects according to Coulomb's Law?
Ans.According to Coulomb's Law, the force between two charged objects is inversely proportional to the square of the distance between them. This means that as the distance \( r \) increases, the force \( F \) decreases rapidly. Specifically, if the distance is doubled, the force becomes one-fourth of its original value. This relationship highlights the strength of the electrostatic force and its sensitivity to changes in distance.
4. Can Coulomb's Law be applied to multiple charges, and if so, how?
Ans.Yes, Coulomb's Law can be applied to multiple charges by using the principle of superposition. The net force on any charge in a system of multiple charges can be calculated by vectorially adding the individual forces exerted on that charge by all other charges in the system. Each pair of charges is treated separately using Coulomb's Law, and the resultant forces are summed to find the total force on the charge of interest.
5. What are some practical applications of Coulomb's Law in everyday life?
Ans.Coulomb's Law has several practical applications in everyday life. It is fundamental in understanding electric forces in various technologies, such as capacitors, which store electrical energy, and in electrostatic precipitators used for air pollution control. Additionally, it plays a role in determining the behavior of particles in plasmas and gases, as well as in the design of electronic components and circuits where electrostatic forces are significant.
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