Why the inner component is not experienced eletrical force from the outter?

In summary, the inner component of a non-hollow conducting sphere does not experience electrical force from the outer component due to the spherical geometry and the inverse square law for electrical force. The symmetrical nature of the sphere and the growth of surface area with radius cancel out the forces, as they go in opposite directions. A full mathematical proof is not provided, but if needed for homework, it can be requested in the appropriate forum.
  • #1
Hades1989
3
0
If u have conducting spherical which is not hollow. We know from guass law that the outter component is experienced electrical force from the inner component. But why the inner isn't experienced the force from the outter. Please show and proof it in mathemetic and describe in the qualitative way. I really want to know this fact. Thank you very much
 
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  • #2
The qualitative answer lies in the geometry of the sphere and the inverse square law for electrical force:

a)the sphere is symmetric in all directions.
b)surface area growth of the sphere as you increase the radius goes as [tex]r^2[/tex].
c) force of electrical forces goes as [tex]1/r^2[/tex]

So the forces are there, they just cancel each other out geometrically.

This is not the full mathematical proof; if this is a homework question then post in the homework forum.
 

Related to Why the inner component is not experienced eletrical force from the outter?

1. Why is the inner component not experiencing electrical force from the outer?

The inner component is not experiencing electrical force from the outer because there is a lack of electric charge present on the outer surface. Without an electric charge, there is no force acting on the inner component.

2. Is there any way to make the inner component experience electrical force from the outer?

Yes, the inner component can experience electrical force from the outer if there is an electric charge present on the outer surface. This can be achieved by introducing an external source of electric charge or by bringing the inner component in contact with a charged object.

3. What factors affect the strength of the electrical force between the inner and outer components?

The strength of the electrical force between the inner and outer components is affected by the magnitude of the electric charge present on the outer surface, the distance between the two components, and the dielectric constant of the material between them.

4. Can the lack of electrical force between the inner and outer components be explained by Newton's laws of motion?

No, the lack of electrical force between the inner and outer components cannot be explained by Newton's laws of motion as they only apply to objects with mass and do not account for the interactions between electric charges.

5. How does the concept of electric fields explain the lack of electrical force between the inner and outer components?

The concept of electric fields can explain the lack of electrical force between the inner and outer components as it describes how electric charges interact with each other. In this case, the absence of an electric charge on the outer surface creates an electric field of zero, resulting in no force acting on the inner component.

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