Question

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?

Answer 1

`-5.226* 10^(-7) C` is the charge on each sphere.

Step-by-step explanation:

Coulomb's law is given as ;

`F=K* (q_1* q_2)/(r^2)`

`q_1,q_2` = Charges on both charges

r = distance between the charges

K = Coulomb constant =
`9* 10^(9) N m^2/C^2`

We have ;

Charge of ion =
`q_1=-q`

Charge of electron =
`q_2=-q`

`r=26.55 cm =0.2655 m`

Force between the charges at r distance will be : F

F = 0.03500 N

`0.03500 N=9* 10^(9) N m^2/C^2* ((-q)* (-q))/((0.2655 m)^2)`

`q=5.226* 10^(-7) C`

`-5.226* 10^(-7) C` is the charge on each sphere.