Coulomb's Law (Electric Force) Video Lessons

Concept

# Problem: (Figure 1) shows four charges at the corners of a square side L.What magnitude and sign of charge Q will make the force on charge q zero?

###### FREE Expert Solution
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###### FREE Expert Solution

Forces involving electric charges is given by:

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

Summing perpendicular vectors:

$\overline{){\mathbf{F}}{\mathbf{=}}\sqrt{{{\mathbf{F}}_{\mathbf{x}}}^{\mathbf{2}}\mathbf{+}{{\mathbf{F}}_{\mathbf{y}}}^{\mathbf{2}}}}$

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###### Problem Details

(Figure 1) shows four charges at the corners of a square side L.
What magnitude and sign of charge Q will make the force on charge q zero?