Answer to Question #297040 in General Chemistry for Mark

Question

Two small conducting and identical spheres A and B have charges -25 nC and +15 nC, respectively. They are separated by a distance of 0.02 m.

Answer 1

Two small conducting and identical spheres A and B have charges -25 nC and +15nC, respectively. They are separated by a distance of 0.02m. What is the magnitude of the electric force between the two spheres?

Solution:

Given:

$q_{A}=-25\ nC=-25\times10^{-9}\ nC, q_B=15\ nC=15\times10^{-9}\ nC\\ d=0.02 \ m$

Electric force

$F=\frac{1}{4\pi\epsilon} \frac{q_A q_B}{d^2}=9\times10^9\times \frac{-25\times10^{-9}\times15\times10^{-9}}{0.02^2}=8.4375\times10^{-3} \ N$