Question #298443

Two equal charges are located 1m from each other. The force acting between them is 2N. How many Coulombs is each charge?


1
Expert's answer
2022-02-16T08:35:03-0500

Given:

q1=q2=qq_1=q_2=q

r=1mr=1\:\rm m

F=2NF=2\:\rm N


The Coulomb's law says

F=kq1q2r2=kq2r2F=k\frac{q_1q_2}{r^2}=k\frac{q^2}{r^2}

Hence, the charge of each point

q=Fr2/k=212/9109=1.5105Cq=\sqrt{Fr^2/k}=\sqrt{2*1^2/9*10^9}=1.5*10^{-5}\:\rm C


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