Why electric field inside a sphere is zero?

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Lola Mann asked a question: Why electric field inside a sphere is zero?
Asked By: Lola Mann
Date created: Tue, Jun 1, 2021 9:00 PM
Date updated: Sat, Nov 5, 2022 6:20 PM

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Top best answers to the question «Why electric field inside a sphere is zero»

It follows that: The electric field immediately above the surface of a conductor is directed normal to that surface… Now, the gaussian surface encloses no charge, since all of the charge lies on the shell, so it follows from Gauss' law, and symmetry, that the electric field inside the shell is zero.It follows that: The electric field immediately above the surface of a conductor is directed normal to that surface… Now, the gaussian surface
gaussian surface
It is immediately apparent that for a spherical Gaussian surface of radius r < R the enclosed charge is zero: hence the net flux is zero and the magnitude of the electric field on the Gaussian surface is also 0 (by letting QA = 0 in Gauss's law, where QA is the charge enclosed by the Gaussian surface).
https://en.wikipedia.org › wiki › Gaussian_surface
encloses no charge, since all of the charge lies on the shell, so it follows from Gauss' law, and symmetry, that the electric field inside the shell is zero.

8 other answers

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.

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. ·.

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 $$ \oint{ \bf{E.dA}} =0$$ 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.

Why there is 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. Also, the electric field inside a conductor is 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. May 4, 2017. #7.

So using Gauss theorem, E=0 So as all the charges lies on the surface of conducting sphere, using symmetry and Gauss law the electric field is zero inside the hollow conducting sphere. So, we can say that the electric field inside any hollow conducting surface is zero provided that there are no charges enclosed by that region.

A conducting hollow sphere will have the entire charge on its outer surface and the electric field intensity inside the conducting sphere will be zero. For a NON CONDUCTING charged SPHERE the there will be a electric field outside as well as inside.

So if we draw a spherical Gaussian surface inside the spherical shell the electrical field will be constant on the surface. E * 4*pie*r^2 = net charge enclosed /epsilon. Since net charge enclosed = 0. E *4*pie *r^2 = 0. and hence E = 0. so the field inside the shell is zero

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