Two small metal spheres are 26.50 cm apart. The spheres have equal amounts of negative charge and repel each other with a force of 0.03500 N. What is the charge on each sphere?

Respuesta :

Answer:

[tex]-5.226\times 10^{-7} C[/tex] is the charge on each sphere.

Explanation:

Coulomb's law is given as ;

[tex]F=K\times \frac{q_1\times q_2}{r^2}[/tex]

[tex]q_1,q_2[/tex] = Charges on both charges

r = distance between the charges

K = Coulomb constant =[tex]9\times 10^{9} N m^2/C^2[/tex]

We have ;

Charge of ion =[tex]q_1=-q[/tex]

Charge of electron =[tex]q_2=-q[/tex]

[tex]r=26.55 cm =0.2655 m[/tex]

Force between the charges  at r distance will be :  F

F = 0.03500 N

[tex]0.03500 N=9\times 10^{9} N m^2/C^2\times \frac{(-q)\times (-q)}{(0.2655 m)^2}[/tex]

[tex]q=5.226\times 10^{-7} C[/tex]

[tex]-5.226\times 10^{-7} C[/tex] is the charge on each sphere.

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