# Conductor with a charge problem

• STP
In summary, a person is struggling with a problem involving a conductor with a neutral surface that has a cavity with a point charge inside of it. They are trying to find the charge on the inner wall of the cavity using Gauss' law.
STP
Hey everyone, first post and having an issue thinking about a simple problem. I'm into chemistry so I struggle to get all of these physics ideas down correctly.

The problem is about a conductor with a neutral surface. The conductor has a cavity with a point charge of +P inside of it. A charged rod transfer -q to the conductor.

My issue is finding the charge on the inner wall of the conductor's cavity. My book doesn't describe a transfer of this sort and just says the inner wall of the cavity has to cancel out the point charge.

Thanks

Surround the cavity by a Gaussian surface S lying inside the conductor. Inside a conductor, the field is always zero. The closed surface integral over S, integral E.da = 0, since E = 0 at every point. What do you think the induced charge on the cavity wall should be using Gauss’ law?

for your post and welcome to the scientific community! Your problem is a common one and it's great that you're reaching out for help. As a scientist, it's important to remember that we all face challenges and it's okay to ask for assistance.

In regards to your problem, it's important to understand the principles of charge transfer and how it affects conductors. In this scenario, the charged rod is transferring a negative charge to the neutral conductor. This will cause the electrons in the conductor to redistribute, creating an electric field within the conductor. As the electrons move, they will eventually reach equilibrium and the electric field will become zero.

Now, in order for the inner wall of the cavity to cancel out the point charge, it must have an equal and opposite charge. This means that the negative charge transferred from the rod must be distributed evenly on the inner wall of the cavity. This is known as charge induction, where the presence of a charged object influences the distribution of charges in a conductor.

To find the charge on the inner wall of the cavity, you can use the principle of charge conservation. This states that the total charge in a closed system remains constant. In this case, the total charge in the conductor and the cavity must be equal to the charge on the rod, which is -q. Therefore, the charge on the inner wall of the cavity will also be -q.

I hope this helps to clarify the problem and guide you in finding the solution. Remember, as a scientist, it's important to approach problems with patience and a willingness to learn. Keep exploring and questioning, and you will continue to grow as a scientist. Best of luck!

## 1. What is a conductor with a charge problem?

A conductor with a charge problem refers to a situation where a conductor (a material that allows the flow of electricity) is not in a state of electrical equilibrium. This means that there is an unequal distribution of electric charges on the surface or within the conductor, leading to a charge imbalance.

## 2. What causes a conductor to have a charge problem?

A conductor can have a charge problem due to various reasons. It could be due to the presence of an external electric field, which can cause the charges to redistribute within the conductor. It could also be due to the rubbing or friction between two objects, known as the triboelectric effect, which can transfer charges from one object to another. In some cases, the conductor may also have a charge problem due to defects or impurities in its structure.

## 3. What are the effects of a charge problem in a conductor?

A charge problem in a conductor can lead to various effects, depending on the severity of the problem. In some cases, it may cause the conductor to become electrically charged, leading to electric shocks or sparks. It can also affect the performance of electronic devices, as the uneven distribution of charges can interfere with the flow of electricity. In extreme cases, it can even damage the conductor or any connected equipment.

## 4. How can a charge problem in a conductor be solved?

The solution to a charge problem depends on its cause. If the problem is due to an external electric field, it can be mitigated by shielding the conductor or grounding it. For charge imbalances due to triboelectric effects, anti-static materials can be used to prevent the transfer of charges. In some cases, the conductor may need to be replaced if the problem is caused by defects or impurities.

## 5. How can a charge problem in a conductor be prevented?

To prevent a charge problem in a conductor, it is essential to ensure proper grounding and shielding of the conductor. Regular maintenance and inspection can also help identify and resolve any potential issues before they become severe. Using anti-static materials and taking precautions to avoid friction between different materials can also help prevent charge problems.

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