Question #259990

what is the magnitude of the electrostatic force between two electrons separated by a distance of 1.00 X 10-8 meter?


Expert's answer

The magnitude of the electrostatic force between two electrons is given as follows:


F=ke2r2F = k\dfrac{e^2}{r^2}

where k=8.99×109Nm2/C2k = 8.99\times 10^9Nm^2/C^2 is the Coulomb constant, e=1.6×10−19Ce = 1.6\times 10^{-19}C is the charge of electron, r=10−8mr = 10^{-8}m is the distance between electrons. Thus, obtain:


F=8.99×109(1.6×10−19)2(10−8)2≈2.30×10−12NF = 8.99\times 10^9\dfrac{(1.6\times 10^{-19})^2}{(10^{-8})^2} \approx 2.30\times 10^{-12}N

Answer. 2.30×10−12N2.30\times 10^{-12}N.


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