Why the electric potential at every point inside a hollow charged sphere same and equal to the electric potential on its surface?

Electric field intensity is zero inside the hollow spherical charged conductor. So no work is done in moving a test charge inside the conductor and on its surface. Therefore there is no potential difference between any two points inside or on the surface of the conductor.

How does charged sphere behave as point charge for any point outside the sphere?

E= Q/(4 pi eo R^2). But, this is exactly the field produced by charge supposedly placed at the center of the charged sphere. In other words , as far as field out side a uniformly charged sphere is concerned , the whole charge on the sphere can be taken as point charge of same magnitude at the center of the sphere.

Why is there no charge inside a sphere?

The lowest potential energy for a charge configuration inside a conductor is always the one where the charge is uniformly distributed over its surface. This is why we can assume that there are no charges inside a conducting sphere.

Why do charges reside on the surface of the conductor?

The electric field inside the conductor is zero. In case of conductors, this electric field is always equal to that of the external electric field and hence the external field is neutralized. Hence all the charges move as far away as possible, i.e. on the surface of the conductor.

How is charge distributed on a sphere?

Charge on a conductor would be free to move and would end up on the surface. This charge density is uniform throughout the sphere. Charge Q is uniformly distributed throughout a sphere of radius a. That is, the electric field outside the sphere is exactly the same as if there were only a point charge Q.

Can a charged sphere be treated as a point charge?

(Where the charge of the point charge equals the total charge of the sphere.) So in cases when the charge is uniformly distributed over its volume or its surface, the sphere can be treated as a point charge? yep.

Is sphere a point charge?

Strategy. As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and produces a field like that of a point charge located at its center. Thus we can find the voltage using the equation V=kQr V = k Q r .

Why do charges reside on surface of conductor?

What will happen to the electric field if the charged sphere is hollow?

Inside the hollow conducting sphere, the electric field is zero. Since charge enclosed within the gaussian surface is zero. So, E inside the gaussian surface is also zero.

What is the electric field outside a charged sphere?

3 Not much more to add to the title. The electric field outside a (uniformly) charged sphere is equal to the electric field that would have been created by a point charge with the same total charge. When the charge distribution is spherically symmetric, the field outside the sphere is exactly that of a point charge at the center of the sphere.

Why can’t a sphere have a point charge?

This is only true if the sphere is isolated from everything else. If another charge, or another object held at some potential, is brought near the sphere, it will induce surface charges in the sphere that are not spherically symmetric, and therefore you can no longer treat it as a point charge.

How do you find the charge density of a sphere?

This charge density is uniformthroughout the sphere. Charge Q is uniformlydistributed throughout a sphere of radius a. Find the electric field at a radius r. First consider r > a; that is, find the electric field at a point outsidethe sphere.

What is the electric flux at the center of a sphere?

The electric flux is then just the electric field times the area of the spherical surface. The electric field is seen to be identical to that of a point charge Q at the center of the sphere.