# Quick Answer: Why is the electric potential at any point inside and outside a conducting sphere at equal potential?

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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 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.

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

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.

## What is the electric potential inside a conducting sphere?

As we know that the electric field intensity inside the hollow spherical charged conductor is zero. Hence, the work done in moving a point charge inside the hollow spherical conductor is also zero. This implies that the potential difference between any two points inside or on the surface of the conductor is zero.

## What is the electric potential V not the electric field inside a conducting sphere?

If the sphere is a conductor we know the field inside the sphere is zero. What about the potential? Because E = 0, we can only conclude that ΔV is also zero, so V is constant and equal to the value of the potential at the outer surface of the sphere.

## Why is the potential inside a hollow spherical charged?

Electric field inside the shell is zero. So no work is done in moving a charge inside the shell. This implies that potential is constant, and therefore equal to its value at the surface i.e.

## Why is electric potential constant inside a charged sphere?

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.

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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.

## Why is electric potential constant inside a conductor?

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.

## Why is electric potential same in a conductor?

A charged conductor is equipotential because an external electric field causes current to flow inside it, making electrons move, causing separation of charges and setting up an electric field inside it which opposes the external electric field.

## What is the potential at any point inside a conductor as compared to the potential on its surface?

Since E = 0 inside the conductor and has no tangential component on the surface, no work is done in moving a small test charge within the conductor and on its surface. That is, there is no potential difference between any two points inside or on the surface of the conductor. Hence, the result.

## How is the potential within and on the surface of a conductor Mcq?

Inside the conductor, the electric field is zero whereas potential is the same as on the surface. Hence, throughout the conductor, potential is the same i.e, the whole conductor is equipotential.

## Why can two electric field lines never intersect each other?

The direction of electric field line generally changes from point to point and hence are curved lines. … And this implies two directions of electric field intensity at the point of intersection, which is not possible. Hence, two field lines never cross each other.

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## How is the potential within and on the surface of a conductor *?

Explanation: Electric field at any point is equal to the negative of the potential gradient. But inside a conductor, the electric field is zero. Hence, the electric potential is constant throughout the volume of a conductor and has the same value on its surface. Thus the surface of a conductor is equipotential.