Coulomb's law:

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

**A.**

The three charges will be in equilibrium if F_{1} = F_{2}

From Coulomb's law:

A charge +Q is located at the origin and a second charge, + 4Q, is at distance d on the X-axis.

A. Where should a third charge,q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d .

B. What should be its sign, so that all three charges will be in equilibrium? Negative or Positive?

C. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q .

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