What is the distance between 2 point charges of equal magnitude

Physics

ScanSolve AI Answer

To find the distance between two point charges, you need more information than just their equal magnitude. You would typically need to know the force between them.

The relationship is described by Coulomb's Law:

F = k * (q₁ * q₂)/(r²)

Where:

  • F is the electrostatic force between the charges.
  • k is Coulomb's constant (approximately 8.987 × 10⁹ N·m²/C² in a vacuum).
  • q₁ and q₂ are the magnitudes of the charges.
  • r is the distance between the centers of the two charges.

If you know the force (F) and the magnitude of the charges (q₁ = q₂ = q), you can rearrange the formula to solve for r:

r² = k * (q²)/F
r = √(k * (q²)/F)

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