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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