The force acting between two point charges kept at a certain...

The force acting between two point charges kept at a certain distance is $\mathrm{F}_{1}$ Now magnitude of charge are double and distance between them is double. The force acting between them is $\mathrm{F}_{2}$ find out the ratio of $\mathrm{F}_{2} / \mathrm{F}_{1}=\ldots \ldots \ldots \ldots \ldots$ (a) $16: 1$ (b) $1: 16$ (c) $1: 1$ (d) $1: 8$

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Key Concepts

Scaling and Proportionality

The concept of scaling in physical laws involves understanding how multiplying variables in a given relationship affects the outcome. In the context of Coulomb's Law, if the charges are doubled, the force increases by a factor of four (since the product of the charges becomes four times larger), and if the distance is doubled, the force decreases by a factor of four (due to the square of the distance). This balance of direct and inverse proportionality is key to evaluating how modifications in system parameters result in an unchanged net force.

Coulomb's Law

Coulomb's Law defines the force between two point charges as directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This fundamental law in electrostatics explains how changes in charge amounts and separation distance affect the magnitude of the electrostatic force and is central in understanding interactions in electric fields.

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