At what separation is the electrostatic force between a +12.4 µC point charge and a +29.1 µC point charge equa?
At what separation is the electrostatic force between a +12.4 µC point charge and a +29.1 µC point charge equal in magnitude to 2.64 N?
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Use the Coulomb's law formula:
F = kq₁q₂/d² (sometimes written as F = q₁q₂/(4πε₀d²) where k = 1/(4πε₀) = 8.99x10⁹ Nm²/C²)
d² = kq₁q₂/F
= 8.99x10⁹ x (12.4x10⁻⁶) x (291.1x10⁻⁶) / 2.64
= 1.229
d = √1.229 = 1.11m to 3 significant figures.