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

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

Options:

  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It halves

Correct Answer: It quadruples

Solution: 

According to Coulomb\'s law, the force F between two charges is inversely proportional to the square of the distance. If the distance is halved, the force becomes four times greater.

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

Practice Questions

Q1
If the distance between two charges is halved, how does the force between them change?
  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It halves

Questions & Step-by-Step Solutions

If the distance between two charges is halved, how does the force between them change?
  • Step 1: Understand Coulomb's law, which states that the force (F) between two charges is related to the distance (d) between them.
  • Step 2: Remember that the formula for the force is F = k * (q1 * q2) / d^2, where k is a constant and q1 and q2 are the charges.
  • Step 3: Note that 'd' is in the denominator and is squared (d^2). This means that if 'd' changes, the force will change significantly.
  • Step 4: If the distance (d) is halved, it becomes d/2.
  • Step 5: Substitute d/2 into the formula: F = k * (q1 * q2) / (d/2)^2.
  • Step 6: Simplify the equation: (d/2)^2 = d^2 / 4, so F = k * (q1 * q2) / (d^2 / 4).
  • Step 7: This can be rewritten as F = k * (q1 * q2) * (4 / d^2).
  • Step 8: Notice that the force is now 4 times greater than the original force when the distance was d.
  • Coulomb's Law – Coulomb's law states that the force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.
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