Electric field inside a uniformly charged solid sphere .

In summary, the equation for the electric field inside a uniformly charged solid sphere is E = (kQr)/R^3, where k is the Coulomb constant, Q is the total charge of the sphere, r is the distance from the center of the sphere, and R is the radius of the sphere. The electric field is directly proportional to the distance from the center, meaning that as the distance increases, the electric field decreases. The electric field inside a uniformly charged solid sphere is uniform, due to the symmetry and uniform distribution of charge. The total charge of the sphere affects the electric field, with a larger charge resulting in a stronger electric field. The material of the sphere does not affect the electric field, as it is solely
  • #1
hangainlover
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Homework Statement


It is just a conceptual question.
I learned that all charges tend to move toward outer surface, meaning all the charges of the solid sphere will be on the surface of the solid sphere.
Then, why is it that the electric field increases linearly with distance? shouldn't it be just 0? the same as hollow sphere or a charged ring.



Homework Equations





The Attempt at a Solution

 
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  • #2
all the charges of the solid sphere will be on the surface of the solid sphere
provided the sphere is a conductor. For uniformly charged non-conducting sphere, the electric field in side the sphere increases linearly with distance from the center.
 

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

The equation for the electric field inside a uniformly charged solid sphere is E = (kQr)/R^3, where k is the Coulomb constant, Q is the total charge of the sphere, r is the distance from the center of the sphere, and R is the radius of the sphere.

2. How is the electric field inside a uniformly charged solid sphere affected by the distance from the center?

The electric field inside a uniformly charged solid sphere is directly proportional to the distance from the center, meaning that as the distance increases, the electric field decreases. This relationship is described by the equation E = (kQr)/R^3.

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

Yes, the electric field inside a uniformly charged solid sphere is uniform, meaning it has the same magnitude and direction at all points inside the sphere. This is due to the symmetry of the sphere and the fact that the charge is uniformly distributed throughout the sphere.

4. How does the total charge of the sphere affect the electric field inside?

The total charge of the sphere directly affects the electric field inside. As the total charge increases, the electric field also increases, following the equation E = (kQr)/R^3. This means that a larger charge will result in a stronger electric field inside the sphere.

5. Is the electric field inside a uniformly charged solid sphere affected by the material the sphere is made of?

No, the electric field inside a uniformly charged solid sphere is not affected by the material it is made of. The electric field is solely determined by the total charge and the distance from the center, as described by the equation E = (kQr)/R^3. The material of the sphere only affects the distribution of the charge, not the electric field itself.

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