Electric charge inside a uniformly distributed sphere

In summary, the book states that the electric field inside a uniformly distributed sphere is zero, but the conversation clarifies that this is specifically in conductors. This is because the external electric field created by other charges in the world causes the conductor to redistribute charges and create an internal electric field that cancels out the external one. Even in a hollow sphere, the electric field inside is still zero. This is because the electric field lines cannot go inside as there are no opposite charges inside the sphere.
  • #1
Caglar Yildiz
19
0
1. The problem statement, all variables and given/known
my book says inside of a uniformly distributed sphere is zero and it also says it is not it is increasing. I didnt understand any single thing it is like kidding me?


Homework Equations

The Attempt at a Solution

 
Physics news on Phys.org
  • #2
Could you say exactly what the book states?

Actually, in electrostatics the electric field is always zero in conductors. The usual explanation is that conductors are always in the external electric field created by all of the other charges in the world. This field render the conductor to redistribute charges inside in order to create an internal electric field which eliminates the external electric field. Hence, there are two electric fields in the conductor of the same magnitude but the opposite direction. Their sum gives zero.

Perhaps, this is meant in the book.
 
  • #3
It isn't conductor in spherical suface electrical field is not zero but in hollow it is. That is the problem a sphere is made of hollows so why would it not be zero
 
  • #4
The electric field inside a conductor is zero everywhere, independent of the geometry. If you remove the interior material but do not add additional charges, the electric field is still zero.
 
  • #5
If you have an abstract sphere of positive(negative) charges, imagine how electric field lines go. Their general property is that they should start at positive charges and end at negative charges. Imagine them going from each elementary charge of the sphere. As there is no negative(positive) charge inside, these lines can't go inside.Otherwise, they would have to end at positive charges of the sphere. This means that there is no electrical field inside the sphere.
 
  • #6
Thanks i think i got it
 

Related to Electric charge inside a uniformly distributed sphere

1. What is the equation for electric charge inside a uniformly distributed sphere?

The equation for electric charge inside a uniformly distributed sphere is q = (4/3)πε0R3ρ, where q is the total charge, ε0 is the permittivity of free space, R is the radius of the sphere, and ρ is the charge density.

2. How is the electric field inside a uniformly distributed sphere calculated?

The electric field inside a uniformly distributed sphere is calculated using the equation E = (q/4πε0R3)r, where E is the electric field, q is the total charge, ε0 is the permittivity of free space, R is the radius of the sphere, and r is the distance from the center of the sphere.

3. Can the electric charge inside a uniformly distributed sphere be negative?

Yes, the electric charge inside a uniformly distributed sphere can be negative. This means that the sphere contains an excess of negative charge, which creates an electric field that points inward towards the center of the sphere.

4. How does the electric charge inside a uniformly distributed sphere affect the electric potential?

The electric potential inside a uniformly distributed sphere is directly proportional to the charge inside the sphere. This means that as the charge increases, the electric potential also increases. The electric potential inside the sphere is given by the equation V = (1/4πε0) ∫(q/r)dr, where V is the electric potential, ε0 is the permittivity of free space, q is the total charge, and r is the distance from the center of the sphere.

5. How does the distribution of charge inside a uniformly distributed sphere affect the electric field?

The distribution of charge inside a uniformly distributed sphere does not affect the electric field. This is because the electric field inside the sphere is spherically symmetric, meaning it has the same strength and direction at every point. Therefore, the distribution of charge does not change the overall electric field inside the sphere.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
452
  • Introductory Physics Homework Help
Replies
18
Views
1K
  • Introductory Physics Homework Help
Replies
14
Views
652
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Replies
1
Views
190
  • Introductory Physics Homework Help
Replies
21
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
389
Back
Top