Coulomb's law:

$\overline{)\begin{array}{rcl}{\mathit{F}}& {\mathbf{=}}& \frac{{\mathbf{kq}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}\end{array}}$

Quadratic formula:

$\overline{){\mathbf{x}}{\mathbf{=}}\frac{\mathbf{-}\mathbf{b}\mathbf{\pm}\sqrt{{\mathbf{b}}^{\mathbf{2}}\mathbf{-}\mathbf{4}\mathbf{a}\mathbf{c}}}{\mathbf{2}\mathbf{a}}}$

$\overline{){{\mathbf{(}}{\mathbf{a}}{\mathbf{-}}{\mathbf{b}}{\mathbf{)}}}^{{\mathbf{2}}}{\mathbf{=}}{{\mathbf{a}}}^{2}{\mathbf{-}}{\mathbf{2}}{\mathbf{a}}{\mathbf{b}}{\mathbf{+}}{{\mathbf{b}}}^{{\mathbf{2}}}}$

q_{1} = 5.4 μC(10^{-6}C/1μC) = 5.4 × 10^{-6} C

q_{2} = 2.4 μC(10^{-6}C/1μC) = 2.4 × 10^{-6} C

q_{3} = -3.0 μC(10^{-6}C/1μC) = -3.0 × 10^{-6} C

d = 10.0cm(1m/100cm) = 0.1 m

let q_{2} and q_{3} be separated by x m

Then, q_{1} and q_{3} are separated by d - x = (0.1 - x)

Two charged balls, one with a charge of +5.0 μC and the other with a charge of +2.4 μC, are placed a distance d = 10.0 cm apart from each other and rigidly held in place. A third ball with a charge of -3.0 μC is dangled from a string between the two charged balls such that it remains in equilibrium. Calculate the distance the third charged ball is from to the +2.4 μC charge.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Coulomb's Law (Electric Force) concept. You can view video lessons to learn Coulomb's Law (Electric Force). Or if you need more Coulomb's Law (Electric Force) practice, you can also practice Coulomb's Law (Electric Force) practice problems.