Question:
The electrostatic force between two point charges is directly proportional to the
The electrostatic force between two point charges is directly proportional to the
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Remember that "Directly Proportional" means the variable is in the numerator, while "Inversely Proportional" means it is in the denominator.
Updated On: May 6, 2026
- sum of the charges
- distance between the charges
- permittivity of the medium
- square of the distance between the charges
- product of the charges
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The Correct Option is
Solution and Explanation
Concept:
This question refers to Coulomb's Law, which quantifies the amount of force between two stationary, electrically charged particles.
• Inverse Square Law: The force is inversely proportional to the square of the separation distance.
• Direct Proportion: The force depends directly on the magnitude of the charges involved.
• Medium Dependence: The force is affected by the permittivity of the surrounding medium.
Step 1: Analyze the mathematical form of Coulomb's Law.
The law is expressed as: \[ F = k \frac{q_1 q_2}{r^2} \] Where \(F\) is the force, \(q_1\) and \(q_2\) are the magnitudes of the charges, and \(r\) is the distance between them.
Step 2: Identify the correct proportionality.
From the formula, we see: - \(F \propto q_1 q_2\) (Directly proportional to the product of the charges). - \(F \propto 1/r^2\) (Inversely proportional to the square of the distance). Therefore, Option (E) is the only correct statement regarding direct proportionality.
• Inverse Square Law: The force is inversely proportional to the square of the separation distance.
• Direct Proportion: The force depends directly on the magnitude of the charges involved.
• Medium Dependence: The force is affected by the permittivity of the surrounding medium.
Step 1: Analyze the mathematical form of Coulomb's Law.
The law is expressed as: \[ F = k \frac{q_1 q_2}{r^2} \] Where \(F\) is the force, \(q_1\) and \(q_2\) are the magnitudes of the charges, and \(r\) is the distance between them.
Step 2: Identify the correct proportionality.
From the formula, we see: - \(F \propto q_1 q_2\) (Directly proportional to the product of the charges). - \(F \propto 1/r^2\) (Inversely proportional to the square of the distance). Therefore, Option (E) is the only correct statement regarding direct proportionality.
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