two small spheres spaced 20.0cm apart have equal
Answered question
2022-01-19
two small spheres spaced 20.0cm apart have equal charges. How many extra electrons must be present on each sphere if the magnitude of the force of repulsion between them is 3.33*10-21 N
Answer & Explanation
xleb123
Skilled2022-01-29Added 181 answers
We are given two charged spheres with the same charge qqq separated by a distance. cm.
The spheres exerted a force on each other where the magnitude of this force is great . We are asked to calculate the excess electrons on each sphere.
The number of electrons could be obtained by knowing the charge of the sphere, so we can use Coulomb's law to obtain the magnitude of the charge in the form
Where is Coulomb constant and equals
Now we can plug our values for and k into equation (1) to get
After knowing the charge on the sphere we can obtain the number of electrons which is given by
Where eee is the charge of the electron and equals . Now we can plug our values for eee and qqq into equation (2) to get the excess of electrons for one sphere
Each sphere has 760 excess of electrons
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