Calculate Casimir force between several 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.

 

[mfb]

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.