# Calculate Casimir force between several plates

• Marianp
In summary, the speaker is asking how to calculate the force change when using several plates with the Casimir effect. They provide an example of plates with a gap of 20 * 10 ^ -9 m and ask if there is a vacuum between the plates.
Marianp
Hello

I want to ask how to calculate the force change if it has been used several plates adjacent to the Casimir effect.

for example
- | | | | | | | | | -
gap between the plates is 20 * 10 ^ -9 m.
Between the plates is a vacuum?

Thank you.
Goodbye.

With the same spacing everywhere: As you have a negative pressure between all those plates, the outer two plates should feel a force inwards and the other plates do not feel a force. If the spacing can change, the forces "to the left" and "to the right" can change, giving net forces for the inner plates, too.

## What is the Casimir force?

The Casimir force is a physical phenomenon that describes the force between two uncharged, parallel plates in a vacuum. It is caused by the fluctuations of electromagnetic fields in the vacuum.

## What factors affect the Casimir force between plates?

The Casimir force is affected by several factors, including the distance between the plates, the material properties of the plates, and the geometry of the plates. It is also influenced by the temperature and any external electric or magnetic fields.

## How can I calculate the Casimir force between several plates?

The Casimir force can be calculated using the Casimir-Polder formula, which takes into account the properties of the plates and the distance between them. Alternatively, it can be calculated using numerical methods such as the finite element method.

## Is the Casimir force a significant force in everyday life?

No, the Casimir force is a very small force and is only noticeable at very small distances (less than a micrometer). It is only relevant in certain scientific and technological applications.

## Are there any practical applications of the Casimir force?

Yes, the Casimir force has practical applications in nanotechnology, such as in the development of microelectromechanical systems (MEMS) and in the design of nanoscale devices. It is also being studied for potential applications in quantum computing and energy harvesting.

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