Why is the electric field zero inside a metal sphere?

Harmony Littel asked a question: Why is the electric field zero inside a metal sphere?
Asked By: Harmony Littel
Date created: Tue, Jun 1, 2021 5:20 AM

Content

FAQ

Those who are looking for an answer to the question «Why is the electric field zero inside a metal sphere?» often ask the following questions:

👉 Is electric field zero inside a sphere?

It isn’t necessarily zero. You are probably talking about a uniformly charged sphere with no other external electric fields. In this case, yes, the electric field at the center is zero. If the sphere had a nonuniform charge and/or there was another external electric field, the field at the center would not be zero.

👉 Why electric field inside a sphere is zero?

Why is electric field zero inside a hollow sphere? Hi, According to Gaussian’s law the electric field inside a charged hollow sphere is Zero. This is because the charges resides on the surface of a charged sphere and not inside it and thus the charge enclosed by the guassian surface is Zero and hence the electric field is also Zero.

👉 Why is electric field inside a sphere zero?

electric field in and out of the spherical shell. Why the field inside the conducting spherical shell is zero? Professor Lewin said and I quote," there is NO charge inside the conductor because any charge inside the conductor would make the electrons experience a force , the electrons will start to flow and they will kill the electric field."

9 other answers

Since (1) the metallic sphere is an equipotential surface and (2) the potential inside the sphere must satisfy Laplace's equation, it follows, by the uniqueness theorem, that the potential inside the sphere is constant and thus, that the electric field inside the sphere is zero.

If you imagine a sphere as a collection of many point charges, the electric field at the center will end up pointing in all directions and all of these will add to zero. Very often, you will see this written is “the electric field is zero due to symmetry,” or something very close to that. 1.7K views. ·.

The difference between dielectric and conductor is that the latter is able to compensate for external fields, and still have no internal field. That's why Faraday cages won't work with wood, but only metal. Given a charged sphere, the electric field within it is zero at every point.

1. You can apply Gauss' law inside the sphere. Consider any arbitrary Gaussian surface inside the sphere. The charge enclosed by that surface is zero. From Gauss' law. ∮ E. d A = 0. This implies that the electric field inside a sphere is zero. Say you now add an electron inside the shell. The electrons on the surface will experience a force.

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.

As no charge, Q, is contained within the hollow part of our sphere, the net flux through our Gaussian surface and electric field are both zero inside of the sphere. To examine the electric flux and field outside of the sphere, let’s imagine our Gaussian surface just outside of our charged sphere.

The positive charges will attract electrons until the field inside the conductor is zero. This means that the whole conductor, including the inner surface, is an equipotential. After that, Gauss' law says the field inside is zero. You figure is a fine one if the four charges are in empty space.

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.

Figure 6.5.10: Electric field of a positively charged metal sphere. The electric field inside is zero, and the electric field outside is same as the electric field of a point charge at the center, although the charge on the metal sphere is at the surface. Exercise 6.5.1

Your Answer

We've handpicked 23 related questions for you, similar to «Why is the electric field zero inside a metal sphere?» so you can surely find the answer!

Why is the electric field inside a charged sphere zero?

This implies that the electric field inside a sphere is zero. Say you now add an electron inside the shell. The electrons on the surface will experience a force. This will cause them to move on the surface such that the net force\field becomes zero again.

Read more

Why is the electric field inside a hollow sphere zero?

From Gauss law, the electric field is zero inside the hollow conducting sphere. So, the electric field inside any hollow conducting surface is zero provided that there are no charges enclosed by that region. In electrostatics free charges in a good conductor reside only on the surface. So the free charge inside the conductor is zero.

Read more

Why is the electric field inside a hollow sphere is zero ?

If you have a conducting hollow sphere with a uniform charge on its surface, then will the electric field at every point inside the shell be 0. The reason the electric field is 0 at the center is clear from the symmetry of the sphere, but for a point at a certain distance from the center, shouldn't a net electric field exist?

Read more

Why is the electric field zero inside a hollow conducting sphere?

Active 11 months ago. Viewed 10k times. 1. If you have a conducting hollow sphere with a uniform charge on its surface, then will the electric field at every point inside the shell be 0. The reason the electric field is 0 at the center is clear from the symmetry of the sphere, but for a point at a certain distance from the center, shouldn't a net ...

Read more

Is electric field inside insulating sphere?

How to calculate the electric field using Gauss's Law for an insulating sphere. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test ...

Read more

When is electric potential zero inside a sphere?

The electric field inside a conducting sphere is zero, so the potential remains constant at the value it reaches at the surface: Potentials for other charge geometries

Read more

A metal sphere of homogeneous electric field?

Answer to A metallic sphere is placed in the homogeneous electric field E in the figure. What is the strength of the electric fiel...

Read more

The electric field inside a hollow uniformly charged sphere is zero does this imply that the potential is zero inside the sphere explain?

Electric filed between two points inside the hollow sphere is zero means that the two points are at the same potential. In other words the potential difference between the two points is zero. It is not necessary that the potentials are zero.There fore The electric field inside a hollow uniformly charged sphere is zero implies the potentials at any two points inside the sphere are the same.

Read more

Is electric field zero inside insulator?

Why is the electric field inside an insulator not zero? This is attributed to the fact that the electrons are loosely bound to the nuclei and they are free to rearrange themselves until the net field becomes zero. But in an insulator the electrons are tightly bound to the nuclei. So they can resist movement even at more intense fields.

Read more

Why is the electric field strength zero inside a conducting or insulating sphere ?

Maybe you forget the word “hollow “ before sphere, cause in a solid insulating sphere the charge don’t need to move to surface, there is non zero field inside because …

Read more

Electricity - why the potential inside a solid conducting sphere is non zero while the electric field inside is zero?

The potential difference inside a conductor is always zero [I edited your question]. The potential inside a conductor is not always zero. The potential …

Read more

Is there electric field inside negative charged sphere?

  • Since we have no negative charges inside a empty hollow sphere we have no field lines there ergo no electric field. But in case of a capacitor we put a charged sphere inside the the shell with opposite sign of the charge as the shell. Why do we then ignore the field from the shell? homework-and-exercises electrostatics electric-fields capacitance

Read more

Is there electric field inside negatively charged sphere?

The electric field immediately above the surface of a conductor is directed normal to that surface. Figure 10: The electric field generated by a negatively charged spherical conducting shell. Let us consider an imaginary surface, usually referred to as a gaussian surface, which is a sphere of radius lying just above the surface of the conductor.

Read more

What is the electric field inside a sphere?

  • The electric field inside a sphere of uniform charge is radially outward (by symmetry), but a spherical Gaussian surface would enclose less than the total charge Q. The charge inside a radius r is given by the ratio of the volumes:

Read more

Why is electric field linear inside a sphere?

The electric field inside a sphere is zero, while the electric field outside the sphere can be expressed as: E = kQ/r². Q2. Why is the Electric Field Inside a Sphere Equal to Zero? Since the Gauss Law only applies to Gaussian surfaces that do not consume charge and instead, all of its charges lie on the surface.

Read more

Why is electric field inside a cavity of a non-conducting sphere not zero?

Consider a charged non conducting solid sphere of uniform charge density, and it as hole of some radius at the centre. Now suppose I apply Gauss law. As there is no charge inside the cavity, no charge is enclosed by Gaussian sphere, so electric flux is zero, hence electric field is zero. But this is not true according to sources like this, textbook ...

Read more

Is an electric field ever zero in a sphere?

Instead, he defines the conducting sphere, which is equipotential (since there can be no electric field inside a conductor in electrostatics) to have $V=0$. Hence we see that at least the portion of the xy plane within the sphere has $V=0$ .

Read more

Sphere in an electric field: why constant is zero?

The answer above is accurate but doesn't emphasize the key point. Voltage differences are well-defined, but absolute voltage is not. If I have a simple circuit with a 1.5V battery with a 1 ohm resistor connected across it, is the + terminal of the battery at +1.5 V, or is ...

Read more

Why electric field strength in a sphere is zero?

Why electric field strength in a sphere is zero? All the charges lie on the surface of the charged sphere. If a gaussian surface is drawn within the sphere, there will not be any charge within the surface. Therefore, the electric field strength inside a sphere is zero.

Read more

Why is the electric field zero in a sphere?

If you have a conducting hollow sphere with a uniform charge on its surface, then will the electric field at every point inside the shell be 0. The reason the electric field is 0 at the center is clear from the symmetry of the sphere, but for a point at a certain distance from the center, shouldn't a net electric field exist?

Read more

Why is the electric field inside a hollow sphere zero but not for a ring?

For any point inside a uniformly charged sphere, the sum over all the sphere's surface results in a zero electric field. This is because one can make a symmetry argument, that each force from one tiny bit of the charged area of the sphere is balanced by a projection of that area through the point of interest, onto an area on the opposite side of the sphere.

Read more

Can an electric field exist inside a conducting sphere?

The reason is, in case of conducting sphere electric field do not penetrate inside the sphere so there is no variation of electric field inside a conducting sphere, so work done in moving an object in a closed path is zero inside a conducting sphere and that's why electric potential

Read more

Can an electric field exist inside a conductive sphere?

Active 11 months ago. Viewed 10k times. 1. If you have a conducting hollow sphere with a uniform charge on its surface, then will the electric field at every point inside the shell be 0. The reason the electric field is 0 at the center is clear from the symmetry of the sphere, but for a point at a certain distance from the center, shouldn't a net ...

Read more