Electric field in a couple of different cases

In summary, the electric field inside a solid charged conducting sphere is always zero due to symmetry, while the electric field inside a nonconducting sphere is non-zero and varies at all points. For a non-uniformly charged nonconducting spherical shell, the electric field inside is not always zero. However, for a charged conducting spherical shell, the electric field inside is zero at all points. In the case of a neutral conducting spherical shell with a point charge placed inside, the electric field inside the shell is still zero, but the induced charge distribution on the inner surface would not be uniform. This is due to the need for the total field to be zero at any point exterior to the inner surface.
  • #1
LiftHeavy13
11
0
the electric field inside a solid charged conducting sphere is always zero for obvious reasons.



the electric field inside a solid uniformy charged nonconducting sphere is nonzero and varies at all points. since it's nonconducting, the electric field at a certain point still won't move charge.


the electric field inside of a non uniformly charged nonconducting spherical shell is not always zero.

the electric field inside a charged conducting spherical shell is zero at all points due to symmetry

what about the electric field inside of a neutral conducting spherical shell that has a point charge placed inside but NOT in the center... would the electric field then still be zero inside the shell? would the shell's induced charge distribution be, then, nonuniform? i can't seem to get a straight up answer with any sort of explanation from any of my resources.
 
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  • #2
LiftHeavy13 said:
the electric field inside a solid charged conducting sphere is always zero for obvious reasons.

the electric field inside a solid uniformy charged nonconducting sphere is nonzero and varies at all points. since it's nonconducting, the electric field at a certain point still won't move charge.

the electric field inside of a non uniformly charged nonconducting spherical shell is not always zero.

the electric field inside a charged conducting spherical shell is zero at all points due to symmetry

what about the electric field inside of a neutral conducting spherical shell that has a point charge placed inside but NOT in the center... would the electric field then still be zero inside the shell? would the shell's induced charge distribution be, then, nonuniform? i can't seem to get a straight up answer with any sort of explanation from any of my resources.
What do you mean by "inside the shell" ?

The field inside of the inner surface of the shell (in the hollow region) is definitely not zero.

If you mean within the conducting material of the shell itself, then yes the electrical field is zero. The induced charge on the inner surface of the shell must produce a field such the the sum of that field, plus the field produced by the isolated charge is zero at any point exterior to the3 inner surface. That hopefully will convince you that the induced charge on the inner surface is not distributed uniformly.
 

1. What is an electric field?

An electric field is a physical field created by electrically charged objects. It describes the force exerted on other charged objects in the vicinity of the charged object.

2. How is an electric field calculated?

The electric field can be calculated by dividing the force exerted on a test charge by the magnitude of the test charge. This can be represented by the equation E = F/q, where E is the electric field, F is the force, and q is the test charge.

3. What is the difference between a uniform and non-uniform electric field?

A uniform electric field has a constant magnitude and direction at all points in space, while a non-uniform electric field has a varying magnitude and direction at different points in space.

4. How does an electric field change in the presence of a conductor?

In the presence of a conductor, the electric field inside the conductor is zero. This is because the free electrons in the conductor are able to move to cancel out the effects of any external electric field.

5. How does the electric field change with distance from a point charge?

The electric field decreases with distance from a point charge according to the inverse square law. This means that as distance from the point charge doubles, the electric field strength decreases by a factor of four.

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