Force between 2 parallel, charged, conducting sheets.

In summary, two square parallel sheets with area and distance between them, have total charges of Q1 and Q2. To find the force between them, we can set up four equations for the charges on the inner and outer sides of each plate. However, it is not clear how to find the electric field from this setup, and further assistance is needed. The problem may seem simple, but the solution method is not obvious.
  • #1
khfrekek1992
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0

Homework Statement


Two square parallel sheets with area>>distance between them have total charges of Q1 and Q2 on them. What is the force between them?


Homework Equations


Q1in+Q2in=0
Q1in+Q1out=Q1
Q2in+Q2out=Q2
Q1out=Q2out

The Attempt at a Solution


I set up 4 equations for the charges on the inner and outer sides of each plate (shown above)

Now I have no idea how to find the electric field from here. any help?
 
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  • #2
Or am I doing this wrong?
 
  • #3
This seems like such an easy problem but I have no idea where to start..
 

Related to Force between 2 parallel, charged, conducting sheets.

1. What is the force between two parallel, charged, conducting sheets?

The force between two parallel, charged, conducting sheets is known as the electrostatic force. It is the force of attraction or repulsion between two charged objects and is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

2. How is the force between two parallel, charged, conducting sheets calculated?

The force between two parallel, charged, conducting sheets can be calculated using Coulomb's Law, which states that the force is equal to the product of the charges divided by the square of the distance multiplied by a constant known as the permittivity of free space.

3. What factors affect the force between two parallel, charged, conducting sheets?

The force between two parallel, charged, conducting sheets is affected by the magnitude of the charges on each sheet, the distance between the sheets, and the permittivity of free space. The force increases with increasing charge and decreases with increasing distance.

4. Can the force between two parallel, charged, conducting sheets be both attractive and repulsive?

Yes, the force between two parallel, charged, conducting sheets can be both attractive and repulsive. If the charges on the sheets are of opposite polarity, the force will be attractive. However, if the charges are of the same polarity, the force will be repulsive.

5. How does the force between two parallel, charged, conducting sheets compare to the force between two point charges?

The force between two parallel, charged, conducting sheets is analogous to the force between two point charges. However, the force between two parallel sheets is spread out over a larger surface area, resulting in a weaker force compared to the force between two point charges at the same distance.

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