two positive charges which are 0.1 m apart repel each other with a force of 18N . If the sum of the charges are 9 micro coulomb, calculate their seperate values
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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
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
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