Uncharged spherical conducting shell

In summary, a spherical conducting shell surrounds a charge -q at its center and then a charge of +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces are +q and -q respectively. The +3q charge does not affect the total charge on the exterior, but it does affect the distribution of that charge. The formula for Gauss's Law is E=q/[ε*area], where q is the charge enclosed.
  • #1
VU2
35
0
An uncharged spherical conducting shell surrounds charge -q at the center of the shell. Then a charge+ +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the she are respecteively... +q,-q is the answer.

Does the +3q charge play any roll in that answer? Help. Thanks!
 
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  • #2
VU2 said:
An uncharged spherical conducting shell surrounds charge -q at the center of the shell. Then a charge+ +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the she are respecteively... +q,-q is the answer.

Does the +3q charge play any roll in that answer? Help. Thanks!

Do you know Gauss's Law ?
 
  • #3
Yes, its E=q/[ε*area], where q is the charge enclosed.
 
  • #4
VU2 said:
Yes, its E=q/[ε*area], where q is the charge enclosed.

That should give you your answer.
 
  • #5
So +3q charge doesn't play any roll at all right?
 
  • #6
VU2 said:
So +3q charge doesn't play any roll at all right?

That is correct, as far as the total charge on the exterior. However,the +3q does affect the distribution of that charge.
 

1. What is an uncharged spherical conducting shell?

An uncharged spherical conducting shell is a hollow, metallic sphere that is able to conduct electricity. It is typically made of a metal such as copper or aluminum.

2. How is an uncharged spherical conducting shell different from a charged one?

An uncharged spherical conducting shell has no net charge, meaning that the total amount of positive and negative charges within the shell is equal. A charged spherical conducting shell, on the other hand, has an unequal distribution of charges and will have a net positive or negative charge.

3. Can an uncharged spherical conducting shell store electric charge?

No, an uncharged spherical conducting shell cannot store electric charge. This is because the charges within the shell are evenly distributed and cancel each other out, resulting in a net charge of zero.

4. What is the electric field inside and outside of an uncharged spherical conducting shell?

The electric field inside an uncharged spherical conducting shell is zero, as there is no net charge to create an electric field. Outside of the shell, the electric field behaves as if all the charge is concentrated at the center of the sphere.

5. How does an uncharged spherical conducting shell protect its contents from external electric fields?

An uncharged spherical conducting shell acts as a Faraday cage, meaning that it is able to shield its contents from external electric fields. This is because the charges within the shell rearrange themselves in response to the external field, creating an equal and opposite field that cancels out the external field inside the shell.

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