Question

Two charged spheres are 389.66m away from each other. If one of the spheres has a charge of
3.371C and the force between the spheres is 479.66, what is the charge of the other sphere?
Remember coulomb's constant is 9 X 10^9.

Answer 1

Answer:

2.4 x 10⁻³C

 

Explanation:

Given parameters:

Distance  = 389.66m

Q₁   = 3.371C

Electrical force  = 479.66N

Unknown:

Q₂   = ?

Solution:

To solve this problem, we use the expression below:

    F   = $\frac{k Q_{1} Q_{2} }{r^{2} }$  

F is the electrical force

k is the coulomb's constant  = 9 x 10⁹

Q is the charge

r is the distance

           479.66  = $\frac{9 x 10^{9} x 3.371 x Q_{2} }{389.66^{2} }$  

  Q₂ = 2.4 x 10⁻³C