Question #182871

What must be the distance between point charge q1 = 20μC and point charge q2 = −40μCfor the electrostatic force between them to have a magnitude of 10N?


1
Expert's answer
2021-04-19T17:06:08-0400

The distance can be found from Coulomb's law F=kq1q2r2F = k \frac{q_1 q_2}{r^2}.

From the last formula, r=kq1q2F=9109Nm2C220106C40106C10N0.85mr = \sqrt{\frac{k q_1 q_2}{F}} = \sqrt{\frac{9 \cdot 10^9 \frac{N m^2}{C^2} \cdot 20 \cdot 10^{-6} C \cdot 40 \cdot 10^{-6} C}{10 N}} \approx 0.85 m


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