# A charge of 3 C is at (9 , 3 ) and a charge of -1 C is at (-2 , 4 ) . If both coordinates are in meters, what is the force between the charges?

Feb 29, 2016

${F}_{A B} \cong - 0 , 22 \cdot {10}^{9}$

#### Explanation:

$\text{distance between the Point A and B :}$
$A B = \sqrt{{11}^{2} + {1}^{2}} = \sqrt{121 + 1} = \sqrt{122} \text{ unit}$
$\text{Force between two charges is given :}$
${F}_{A B} = - {F}_{B A} = \frac{k \cdot {q}_{1} \cdot {q}_{2}}{d} ^ 2$
${F}_{A B} = \frac{9 \cdot {10}^{9} \cdot \left(- 1\right) \cdot 3}{122}$
${F}_{A B} = - \frac{27 \cdot {10}^{9}}{122}$
${F}_{A B} \cong - 0 , 22 \cdot {10}^{9}$