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If the distance between two charges is doubled, how does the force between them

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Question: If the distance between two charges is doubled, how does the force between them change?

Options:

  1. It doubles
  2. It halves
  3. It quadruples
  4. It reduces to one-fourth

Correct Answer: It reduces to one-fourth

Solution: 

According to Coulomb\'s law, force is inversely proportional to the square of the distance. If the distance is doubled, the force reduces to one-fourth.

If the distance between two charges is doubled, how does the force between them

Practice Questions

Q1
If the distance between two charges is doubled, how does the force between them change?
  1. It doubles
  2. It halves
  3. It quadruples
  4. It reduces to one-fourth

Questions & Step-by-Step Solutions

If the distance between two charges is doubled, how does the force between them change?
Correct Answer: Force reduces to one-fourth.
  • Step 1: Understand that there are two charges that are attracting or repelling each other.
  • Step 2: Know that the force between these charges is described by Coulomb's law.
  • Step 3: Remember that Coulomb's law states that the force (F) is inversely proportional to the square of the distance (d) between the charges.
  • Step 4: This means that if you increase the distance, the force decreases.
  • Step 5: If the distance is doubled (2d), you need to calculate the new force using the formula: F = k * (q1 * q2) / (2d)^2.
  • Step 6: Simplifying this, you find that (2d)^2 = 4d^2, so the new force is F = k * (q1 * q2) / (4d^2).
  • Step 7: This shows that the new force is one-fourth of the original force.
  • Coulomb's Law – Coulomb's law states that the force between two point charges is inversely proportional to the square of the distance between them.
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