Charge distribution of two plates with different charges?

Therefore, in summary, the charge distribution on the four faces would be as follows: +0.5Q on S1, +1.5Q on S2, -1.5Q on S3, and +0.5Q on S4.
  • #1
Monnn
2
0
If there are two plates with +2Q and -Q, what is the charge distribution on the four faces?

I would assert this is the only solution

S1--------------------------- (+0.5Q)
S2--------------------------- (+1.5Q)

(space)

S3--------------------------- (-1.5Q)
S4--------------------------- (+0.5Q)


But what about this?

S1--------------------------- (+Q)
S2--------------------------- (+Q)

(space)

S3--------------------------- (-Q)
S4--------------------------- ( 0 )

This one is still consistent with Gauss' law. What's wrong with it?
 
Last edited:
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  • #2
The problem with this solution is that it does not account for the total charge on the plates. The first solution above is the only one that satisfies the given conditions of two plates with +2Q and -Q, as it results in a net charge of +2Q on the plates.
 

Related to Charge distribution of two plates with different charges?

1. How does the charge distribution vary between two plates with different charges?

The charge distribution between two plates with different charges follows the principle of electrostatics, which states that opposite charges attract each other and like charges repel. As a result, the plate with a positive charge will have a higher concentration of positive charges, while the plate with a negative charge will have a higher concentration of negative charges. This creates an electric field between the plates, which is strongest near the edges where the charges are closest together.

2. What happens to the charge distribution when the distance between the plates changes?

As the distance between the plates changes, the charge distribution will also change. This is because the electric field strength is inversely proportional to the distance between the plates. Therefore, as the distance decreases, the electric field strength increases, resulting in a more concentrated charge distribution. Conversely, as the distance increases, the electric field strength decreases, resulting in a less concentrated charge distribution.

3. How does the size of the plates affect the charge distribution?

The size of the plates has a direct impact on the charge distribution. The larger the plates, the more surface area there is for the charges to distribute on, resulting in a less concentrated charge distribution. On the other hand, smaller plates have less surface area, causing a more concentrated charge distribution.

4. What happens to the charge distribution if the charges on the plates are different?

If the charges on the plates are different, the charge distribution will be uneven. The plate with a higher charge will have a higher concentration of charges, resulting in a stronger electric field on that side. This will cause the opposite plate to have a lower concentration of charges and a weaker electric field. The overall result is an uneven charge distribution between the two plates.

5. Does the material of the plates affect the charge distribution?

Yes, the material of the plates can affect the charge distribution. Some materials, such as metals, are good conductors of electricity and allow charges to move freely, resulting in a more even charge distribution. Other materials, such as insulators, do not allow charges to move easily, resulting in a more concentrated charge distribution. Therefore, the material of the plates can impact the charge distribution between them.

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