Coulomb's law:

$\overline{){\mathit{F}}{\mathbf{=}}\frac{{\mathbf{kq}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}}$

Δx_{13} = 2.00 cm(1m/100cm) = 0.02 m

Δx_{23} = 4.00 cm(1m/100cm) = 0.04 m

The sum of forces on q_{3} should be zero.

Three point charges are arranged on a line:

Charge q_{3} = +5.00×10^{-9} C and is at the origin.

Charge q_{2 }= −3.00×10^{-9} C and is at x = +4.00cm.

Charge q_{1} is at x=+2.00cm.

What is the magnitude and sign (+ or −) for q_{1} if the net force on q_{3} is zero?

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