The force between two charges Q and q, separated by a distance d is F. What will be the force between them when the distance between them is d/2?
Correct answer: A. 4F
- A. 4F
- B. 2F
- C. F
- D. F/2
Explanation
The force between two charges Q and q separated by distance d is given by Coulomb's law as F = (1/4πε₀) (Q*q/d²)where ε₀ is the electric constant.If the distance between the charges is reduced to d/2, the force between them will increase. The new force can be calculated as follows:F' = (1/4πε₀) * (Q*q/(d/2)²) F' = 4 FSo, the force between the charges will be four times greater when the distance between them is reduced to half.Mathematically other options are incorrect.
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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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