Question

If two charges are 0.1m apart and their combined charge is 9mC . If they repel each other with force 18N . Then calculate the magnitude of each charge

Answer 1

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Explanation:

The Coulomb's law of force between two electrically charged particles :

        q₁ , q₂ = electric charges on the two particles.

          r = distance between two particles = 0.1 m

     the particles are assumed to be point sized.

        Force F = 18 N 

       q₁ + q₂ = 9 μ C    --- (1)

 Solve the two equations to get the values of charges.

    q₁ (9 - q₁) = 20

    q₁² - 9 q₁ + 20 = 0

      (q₁ - 5) (q₁ - 4) = 0

      q₁ = 5 μ C  or  4 μ C

      q₂  = 4 μ C  or  5 μ C