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

2.4 x 10⁻³C

Step-by-step 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 =
`(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 =
`(9 x 10^(9) x 3.371 x Q_(2) )/(389.66^(2) )`

Q₂ = 2.4 x 10⁻³C