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

Posted on August 28, 2022 by Author

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.

Why is the electric field inside a conductor zero and not zero inside an insulator?

Inside a conductor the potential V is constant and the surfaces of a conductor are an equipotential. In an insulator charges cannot move around, and the charge density can have any form. If ρ(r) = 0, the potential is non-uniform, and E = 0 inside the insulator.

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

If the sphere is a conducting hollow sphere, then there is no difference in potential between the center of the sphere and its surface. (The electric filed is zero inside a perfect conductor). The potential inside the sphere is constant, which is the same as saying that the electric field is zero.

Why in a conducting sphere electric field is zero and voltage is constant?

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 potential inside a solid sphere constant?

The potential inside the sphere is constant, which is the same as saying that the electric field is zero. The potential is the same as that of the conducting sphere.

What is the potential inside a sphere?

is zero at every point inside.

Why there is no electric field inside a conductor?

No electric field exists inside the conductor, since free charges in the conductor would continue moving in response to any field until it was neutralized.

Why is electric field inside a conducting sphere?

Gauss’ law tells us that the electric field inside the sphere is zero, and the electric field outside the sphere is the same as the field from a point charge with a net charge of Q. This result is true for a solid or hollow sphere. So we can say: The electric field is zero inside a conducting sphere.

What is the potential inside a solid sphere?

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Due to the solid sphere, the gravitational potential is the same within the sphere.

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

The electric potential is same at any point because the electric inside the charged hollow sphere is zero . Electric field E = – gradient( V) V = electric potential at any point . In case of Hollow sphere the electric field and potential is a function of r (position) only and hence gradient becomes derivative .

Why is electric potential inside a sphere constant?

Since a charge is free to move around in a conductor, no work is done in moving a charge from one point in a conductor to another. That means the electric potential inside the conductor is constant.

Why is the potential constant inside a conducting sphere?

Imagine you have a point charge inside the conducting sphere. Obviously, since the electric field inside the sphere is zero (as you state), there is no force on the charge, so no work done. Therefore the potential is constant. So far so good. .

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Why is the electric field inside a sphere zero?

When you bring a test charge towards the sphere, you have to do some work on the charge to overcome the force force due to the electric field that is emerging from the sphere. This work will store itself in the test charge as it potential energy. But precisely because the electric field inside the sphere is zero, you won’t have to do any work.

Can the electric field inside a spherical dielectric shell be zero?

That is correct if the charged sphere is a conductor in which charges are free to move. However, the electric field is also zero inside the cavity of a uniformly-charged spherical dielectric shell in which the charges are not free to move. That sounds like a dubious claim to be honest.

Is the electric potential inside the conductor Constant and electric field zero?

I have plotted the electric potential (V=Q/ (4πε0r)) and electric field (E=-∇V) using principle of superposition and the plot is: Clearly the electric potential inside the conductor is not constant and the electric field is not zero. How can this issue be explained?

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