Electric field inside a charged sphere

In summary, when considering a uniformly charged spherical shell that is non-conducting, there will be no electric field inside the sphere. This is determined by applying the Gauss's law and considering the symmetry of the setup. However, if there are additional objects present or the shell is not symmetrical, there is no guarantee that the inside electric field will be zero.
  • #1
hokhani
483
8
If we have a uniformly charged spherical shell, supposing that the shell is non-conducting, could we have any electric field inside the sphere? Why?
 
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  • #2
This looks like homework - and it is clearly a homework-like question. What do you think?

Can there be additional objects in the setup?
 
  • #3
mfb said:
This looks like homework - and it is clearly a homework-like question. What do you think?

Can there be additional objects in the setup?
I couldn't give any justification that there is no electric filed inside.
 
  • #4
Good - if there are additional objects in the setup, there can be an electric field.

If there are not, think about symmetry.
 
  • #5
mfb said:
Good - if there are additional objects in the setup, there can be an electric field.

If there are not, think about symmetry.

There are not additional objects. But according to symmetry, using the Gauss's law, I found only that the inside electric field have to be normal to the surface and no reason for being zero. By symmetry do you mean that the inside electric field by one part of the surface is neutralized by the other so if we don't have symmetry, then the inside electric field is not necessarily zero and some parts of charges can be accumulated on the inside surface?
 
  • #6
But according to symmetry, using the Gauss's law, I found only that the inside electric field have to be normal to the surface and no reason for being zero.
Try to apply it to a sphere around the center of the object.
 
  • #7
mfb said:
Try to apply it to a sphere around the center of the object.
Thanks. I think I got it. In the case of spherical shell there is no electric field inside but in the case of non-symmetrical shells there is no reason that inside electric field be necessarily zero. Okay?
 
  • #8
Right.
 

Related to Electric field inside a charged sphere

1. What is the equation for the electric field inside a charged sphere?

The equation for the electric field inside a charged sphere is given by E = kQr/r^3, where k is the Coulomb's constant, Q is the charge of the sphere, and r is the distance from the center of the sphere.

2. How does the electric field inside a charged sphere vary with distance from the center?

The electric field inside a charged sphere decreases with increasing distance from the center. This is because the electric field is inversely proportional to the square of the distance from the center, according to the equation E = kQr/r^3.

3. Is the electric field inside a charged sphere uniform?

No, the electric field inside a charged sphere is not uniform. It is only uniform at the center of the sphere, but as we move away from the center, the electric field becomes non-uniform due to the non-uniform distribution of charge on the surface of the sphere.

4. What is the direction of the electric field inside a charged sphere?

The direction of the electric field inside a charged sphere is radially outward from the center of the sphere. This means that the electric field lines point away from the center and are perpendicular to the surface of the sphere at all points.

5. Does the electric field inside a charged sphere depend on the charge distribution on the surface of the sphere?

Yes, the electric field inside a charged sphere depends on the charge distribution on the surface of the sphere. This is because the electric field is a result of the charges present on the surface, and the distribution of these charges affects the magnitude and direction of the electric field inside the sphere.

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