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

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.

Why is electric potential constant inside a sphere?

No field means no force on the charge and hence no work done. Potential difference is the work done per unit charge moving from one point to another. No work is done so the PD is zero ie the points inside the sphere all have the same potential as the surface.

Why is the electric potential inside a sphere is not zero?

Since all the charge is distributed on the surface of the spherical shell so according to Gauss law there will not be any electric flux inside the spherical shell, because the charge enclosed by the spherical shell is zero, so there will not be any electric field present inside the spherical shell.

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What is the electric potential inside a solid sphere?

It will mainly depend on the charge distribution inside the sphere. But if the charge distribution is uniform throughout the sphere then the electrostatic potential at the center will be zero. But for non-uniform random distribution, the electrostatic potential at the center may not be zero.

What is the electric potential inside a hollow conducting sphere?

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.

Why is the electric potential the same everywhere?

Each point above the surface of the sphere is located at a distance of r from the center. So, the electric potential V is same for every point on the sphere. Because electric potential depends only on the distance from the charge. So the surface of the sphere is an equipotential surface.

Why the electric potential inside a charged conductor is constant?

As inside the conductor the electric field is zero, so no work is done against the electric field to bring a charge particle from one point to another. Because there is no potential difference between any two points inside the conductor, the electrostatic potential is constant throughout the volume of the conductor.

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Is electric potential zero in a conductor?

Since an electric field requires the presence of a charge, the electric field inside the conductor will be zero i.e., E=0 . Thus the electric potential will be constant inside the conductor.

What is the relation between the electrical potential inside a conductor and the electrical potential on the surface of the conductor?

Potential of a Conductor Since the electric field is equal to the rate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.

What is electric potential at point inside the conductor?

The electric field inside a conductor is always zero. So due to which electric potential difference is too zero. In this case total electric potential is zero as net charge inside the conductor is zero. No change in net charge of conductor due to outside charge.

Is the potential inside a conductor constant?

We already know that electric field lines are perpendicular to equipotential surfaces so electric field lines are prependicular to the surface of a conductor. Inside the electric field vanishes. That means the electric potential inside the conductor is constant.

What is the potential of electric field inside a sphere?

But precisely because the electric field inside the sphere is zero, you won’t have to do any work. Thus the potential remains the same inside the sphere and equal to the potential of the charge at the outer boundary of the sphere. You only have to do work till the outer boundary of the sphere.

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How can the electric potential be different between two points?

For the electric potential to be different between two points, you would have to do work in moving a charge between the two points. You can only be doing work if there is an electric force on the charge and you have to move the charge parallel to the direction of the field.

What is the potential potential of a conductor at equilibrium?

Potential of a Conductor. When a conductor is at equilibrium, the electric field inside it is constrained to be zero. Since the electric field is equal to the rate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.

Why is the electric field constant inside a hallow sphere?

That means flux is zero, which means electric field (flux is electric field times area) is zero. Since electric field is spacial derivative of potential, potential is constant. Since E=0 Potential V must be constant inside hallow sphere. 8 clever moves when you have $1,000 in the bank.