Respuesta :
Answer:
Number of electrons, n = 12 electron
Explanation:
Given that,
The distance between charged spheres, [tex]d=2.59\times 10^{-3}\ m[/tex]
The object experiences an electrostatic force that has a magnitude of, [tex]F=4.94\times 10^{-21}\ N[/tex]
The electric force between spheres is given by :
[tex]F=\dfrac{kq^2}{d^2}[/tex]
[tex]q=\sqrt{\dfrac{Fd^2}{k}}[/tex]
[tex]q=\sqrt{\dfrac{4.94\times 10^{-21}\times (2.59\times 10^{-3})^2}{9\times 10^9}}[/tex]
[tex]q=1.91\times 10^{-18}\ C[/tex]
Let there are n number of electrons. Using quantization of electric charge we get :
[tex]q=ne[/tex]
[tex]n=\dfrac{q}{e}[/tex]
[tex]n=\dfrac{1.91\times 10^{-18}}{1.6\times 10^{-19}}[/tex]
n = 11.93 electrons
or
n = 12 electrons
Hence, 12 electrons produce the charge on one of the objects.
