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If the distance between two point charges is tripled, how does the electrostatic

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Question: If the distance between two point charges is tripled, how does the electrostatic force between them change? (2020)

Options:

  1. It triples
  2. It halves
  3. It becomes one-ninth
  4. It remains the same

Correct Answer: It becomes one-ninth

Exam Year: 2020

Solution: 

According to Coulomb\'s law, the force F is inversely proportional to the square of the distance (F ∝ 1/r^2). If r is tripled, F becomes 1/9 of its original value.

If the distance between two point charges is tripled, how does the electrostatic

Practice Questions

Q1
If the distance between two point charges is tripled, how does the electrostatic force between them change? (2020)
  1. It triples
  2. It halves
  3. It becomes one-ninth
  4. It remains the same

Questions & Step-by-Step Solutions

If the distance between two point charges is tripled, how does the electrostatic force between them change? (2020)
  • Step 1: Understand that we are dealing with two point charges and the force between them.
  • Step 2: Recall Coulomb's law, which states that the electrostatic force (F) between two charges is inversely proportional to the square of the distance (r) between them.
  • Step 3: Write down the relationship: F ∝ 1/r^2.
  • Step 4: If the distance (r) is tripled, we can express this as r = 3r_original.
  • Step 5: Substitute this into the formula: F_new ∝ 1/(3r_original)^2.
  • Step 6: Simplify the equation: F_new ∝ 1/(9 * r_original^2).
  • Step 7: This means that the new force (F_new) is 1/9 of the original force (F_original).
  • Coulomb's Law – Coulomb's law describes the electrostatic force between two point charges, stating that the force is inversely proportional to the square of the distance between them.
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