Question

Two identical conducting spheres each have a charge of 2 C. They have a radius of 0.1 m and are separated by 0.5 meters. If you were to increase the radius of these spheres to 0.2 meters, the electrostatic force between them would

Answer 1

The electrostatic force will remain the same

Step-by-step explanation:

From the question we are told that

The charge on the each conducting sphere is
`q = 2 \ C`

The radius each sphere is
`r_1 = r_2 = r = 0. 1\ m`

Generally electrostatic force between the sphere is mathematically represented as

`F = (k * q_1 q_2 )/(d^2)`

Here k is the coulomb constant ,

d is the distance between the two sphere which is measured from one center of the sphere to the other center of the sphere

Now from the question we are told that the radius of the spheres is doubled (i.e from 0.10 m to 0.2 m ) , this will not affect the distance between the sphere because their center are still in the same position

and given there is no change in the distance between the spheres , the electrostatic force will remain the same