Respuesta :
Answer:
q₁ =± 1.30 10⁻⁶ C and q₂ = ± 1.28 10⁻⁶ C
Explanation:
We will solve this problem with Coulomb's law
F = K q₁q₂ / r²
Where the Coulomb constant is value 8.99 10⁹ N m² / C²
Let's apply this equation to our problem
Case 1
F1 = k q₁ q₂ / r₁²
Where r₁ = 0.440 m and F1 = 0.0765 N
Case 2
The charges are the same
F2 = k q q / r₂²
With r₂ = r₁ = 0.440 m, the spheres are fixed and the force is F2 = 0.100 N
When the spheres are joined with the wire, the charge is distributed, distributed and matched in the two spheres
q₁ + q₂ = 2 q
Let's replace
F2 = k ½ (q₁ + q₂) / r²
Let's write the two equations and solve the system of equations
F1 = k q₁ q₂ / r²
F2 = ½ k (q₁ + q₂) / r²
F1 r² / k = (q₁ q₂)
F2 r² / k = (q₁ + q₂)/2
q₁ = 2F2 r² / k - q₂
We substitute in the other equation
F1 r² / k = (2F2 r² / k - q₂) q₂
0 = -F1 r² / k + (2F2 r² / k) q₂ - q₂²
Let's solve the second degree equation
F1 r² / K = 0.0765 0.440² / 8.99 10⁹
F1 r² / K = 1.65 10⁻¹²
(2F2 r² / k) =2 0.10 0.44² / 8.99 10⁹
(2F2 r2 / k) = 4.30 10⁻¹²
q₂² - 4.30 10⁻¹² q₂ + 1.65 10⁻¹² = 0
q₂ = ½ {4.30 10⁻¹² ± √ [(4.30 10⁻¹²)² - 4 1.65 10⁻¹²]}
q₂ = ½ {4.30 10⁻¹² ± 2,569 10⁻⁶}
q₂ = ± 1.2845 10⁻⁶ C
Now we calculate q1
F1 = k q₁ q₂ / r²
q₁ = F1 r² / (k q₂)
q₁ = 0.0765 0.440² / (8.99 10⁹ 1.2845 10⁻⁶)
q₁ = 1.30 10⁻⁶ C
They repeal and have an electrostatic force between them The force is F1 is equal to 0.0765 N and thin coating wire is used to connect them.
What is the identical conducting spheres. ?
The two identical conducting spheres have a positively charged conducting sphere which is fixed in space and the spheres are 44.0 cm apart from the center. Thus the answer is q₁ =± 1.30 10⁻⁶ C and q₂ = ± 1.28 10⁻⁶ C.
As the positively charged sphere are 44.0 cm apart they form a force of thin and redistributing change n each and every sphere. The wire is removed from the sphere has a replier force with an F2 of 0.001 N. Thus the use of the Coulomb's law.
The law states that the amount of force within two electrically changed particles stays at rest.
Find out more information about the 2 identical, conducting spheres.
brainly.com/question/14446979.
