# Electrostatic force between to spheres

• oronanschel
In summary, when comparing the mutual net force between two arrangements of solid half charged spheres, the force depends on two factors which can be determined using the Coulomb force law formula. In a 2D scenario, the force is larger for arrangement B due to the shorter distance. However, in a 3D scenario, it is difficult to accurately calculate the force due to the shape of the electric field. The book argues that the net force is the same, but based on the location of the center of charge, it can be determined that the force is actually larger for arrangement B.
oronanschel
given to solid half charged sphere Insulators.

In which state the mutual net force is bigger: A/B/the same

No idea how to attempt it?
The force depends on two things. Look at the Coulomb force law formula to see what they are. You will find that one of them is the same for both arrangements, but the other is different. With some thought you can approximate that quantity for each situation and then the formula will tell you which results in the larger force.

if it was 2d then it an obv that B (because distance is shorter)
but i can't get a grasp of it 3d and could't compute either.

i tried to think what is the shape of the field of half sphere but
couldn't do it either.

the weird thing is that, the book argue that the net force is the same
and i think it is not

Going from A to B, you have flipped the large half-sphere so its center of charge is closer to the center of the smaller half-sphere. That will increase the force. Yes, it is difficult to figure out exactly where the center of charge is, but certainly it is in the interior of the hemisphere. That alone is sufficient to prove smaller distance for B, isn't it?

?

The mutual net force between two spheres is dependent on several factors, including the distance between the spheres, the charge on each sphere, and the dielectric constant of the material between the spheres. In the case of two solid half-charged spheres made of insulating material, the mutual net force would be the same regardless of the state of the spheres. This is because insulating materials do not conduct electricity, so the charge on the spheres would not be affected by their physical state. Therefore, the mutual net force between the spheres would be the same whether they are in a solid or liquid state.

## What is electrostatic force between two spheres?

The electrostatic force between two spheres is the force of attraction or repulsion between two charged spheres due to their electric charges. It is caused by the interaction of electric fields between the two spheres.

## What factors affect the electrostatic force between two spheres?

The electrostatic force between two spheres is affected by the distance between the two spheres, the magnitude of their charges, and the dielectric constant of the medium between them. The force increases as the distance between the spheres decreases, the charges on the spheres increase, or the dielectric constant decreases.

## How is the electrostatic force between two spheres calculated?

The electrostatic force between two spheres can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the charges on the spheres and inversely proportional to the square of their distance. The formula for the force is F = k(Q1Q2)/r^2, where k is the Coulomb's constant, Q1 and Q2 are the charges on the spheres, and r is the distance between them.

## What is the direction of the electrostatic force between two spheres?

The direction of the electrostatic force between two spheres depends on the charges of the spheres. If the charges are of the same sign (both positive or both negative), the force will be repulsive and will push the spheres away from each other. If the charges are of opposite signs, the force will be attractive and will pull the spheres towards each other.

## How does the electrostatic force between two spheres compare to other types of forces?

The electrostatic force between two spheres is one of the fundamental forces in nature, along with gravity, strong nuclear force, and weak nuclear force. However, it is much stronger than the other forces, as it can be up to 10^39 times stronger than the gravitational force between the same two spheres.

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