Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{{\mathbf{r}}^{\mathbf{2}}}}$

Electric potential:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{\mathbf{r}}}$

**a.**

Net electric field, E = E_{1} + E_{2}, where E_{1} is the electric field due to charge q_{1} and E_{2} is the electric field due to charge q_{2}.

We're looking for a point where the electric field will be zero.

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A -2.0 nC charge and a +2.0 nC charge are located on the x-axis at x = -1.0 cm and x = +1.0 cm, respectively.

a. At what position or positions on the x-axis is the electric field zero?

b. At what position or positions on the x-axis is the electric potential zero?

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