Electric field conductor question

In summary, the conversation discusses the calculation of the force on one hemisphere of a metal sphere with a total charge of Q. It is explained that the electric field inside a conductor is zero, meaning the net force should also be zero. However, the force asked for is specifically from the hemisphere, which requires the use of calculus to solve. If the sphere is hollow, a post by hikaru1221 provides a method for calculating the force.
  • #1
lianghongjian
1
0
Please help me.

Homework Statement


Consider a metal sphere of radius R that has a total charge of Q. What is the force on one hemisphere by the other?



Homework Equations



F=E/q

The Attempt at a Solution


I thought the Electric field inside a conductor should be 0, therefore the force is also 0?
But it should not be this simple could somebody explain it to me.
 
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  • #2
electric field inside the conductor is zero, yes. That means total net force should be zero as well. but the force asked is that by the hemisphere (the part of the same sphere).
Net force is zero because both hemisphere exert equal but opposite force.

You would need calculus to solve the problem(calculate the value of force).
if the sphere is hollow, you can follow this post by hikaru1221

https://www.physicsforums.com/showpost.php?p=2913313&postcount=11
 

1. What is an electric field?

An electric field is a physical phenomenon that surrounds charged particles and exerts a force on other charged particles within its vicinity. It is a fundamental concept in the study of electromagnetism and is represented by a vector quantity.

2. What is a conductor?

A conductor is a material or substance that allows the flow of electric charges. This can include metals, such as copper or aluminum, as well as other materials like water or the human body. Conductors have a high number of free electrons, which can easily move and carry electric current.

3. How does an electric field interact with a conductor?

When an electric field is applied to a conductor, it can cause the free electrons to move within the material, creating an electric current. The strength of the electric field and the conductivity of the material determine the amount of current that can flow. In a conductor, the electric field is strongest at the surface, where the free electrons are most concentrated.

4. Can a conductor have an electric field inside of it?

Yes, a conductor can have an electric field inside of it. However, the electric field inside a conductor is zero in a state of equilibrium. This means that the electric force acting on the free electrons inside the conductor is balanced by an equal and opposite force, resulting in a net electric field of zero.

5. How do different types of conductors affect the electric field?

Different types of conductors can affect the electric field in various ways. Materials with high conductivity, such as metals, allow for a stronger electric field to be maintained. On the other hand, materials with lower conductivity, such as insulators, have a weaker effect on the electric field. Additionally, the shape and size of a conductor can also impact the distribution and strength of the electric field.

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