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The magnitude of the electrostatic force between two point charges is f. If the distance between the charges is doubled, the electrostatic force between the charges will become.

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ONYEBUCHINNAJIGO

When the  distance between the charges is doubled, the electrostatic force between the charges will reduce by quarter.

Electrostatic force between two point charges

The electrostatic force between two point charges is calculated using Coulomb's law;

[tex]F = \frac{kq^2}{r^2}[/tex]

where;

  • F is the force
  • k is Coulomb's constant
  • q is the charge
  • r is the distance

When the distance between the charges is doubled

[tex]F = \frac{kq^2}{(2r)^2} \\\\F = \frac{kq^2}{4r^2}\\\\F = \frac{1}{4} (\frac{kq^2}{r^2} )[/tex]

Thus, when the  distance between the charges is doubled, the electrostatic force between the charges will reduce by quarter.

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