What is the force between two small charged spheres having charges of

1.	What is the force between two small charged spheres having charges of 2 × 10–7C and 3 × 10–7 C placed 30 cm apart in the air?
Answer» Given, The Charge on the 1^st sphere and 2^nd sphere is q₁ = 2 x 10^-7C and q₂ = 3 x 10^-7C The distance between two charges is given by r = 30cm = 0.3m The electrostatic force between the spheres is given by the relation : F = 1/4πϵ_o x q₁q_2/r² Here, ϵ_o = permittivity of free space and, 1/4πϵ_o = 9 x 10⁹ Nm²C^-2 Force, F = 9x10⁹x2x10^-7x3x10^-7 / (0.3)² = 6 x 10^‑3 N. The force between the charges will be repulsive as they have the same nature.

What is the force between two small charged spheres having charges of 2 × 10–7C and 3 × 10–7 C placed 30 cm apart in the air?

Answer»

Given,

The Charge on the 1^st sphere and 2^nd sphere is q₁ = 2 x 10^-7C and q₂ = 3 x 10^-7C

The distance between two charges is given by r = 30cm = 0.3m

The electrostatic force between the spheres is given by the relation :

F = 1/4πϵ_o x q₁q_2/r²

Here,

ϵ_o = permittivity of free space and,

1/4πϵ_o = 9 x 10⁹ Nm²C^-2

Force, F = 9x10⁹x2x10^-7x3x10^-7 / (0.3)² = 6 x 10^‑3 N.

The force between the charges will be repulsive as they have the same nature.