- #1
soothsayer
- 423
- 5
In a setup I am designing, I have two conducting plates of similar charge, separated by 1mm of vacuum. The "top" plate, which is mechanically fixed, is charged to -10kV. The other "bottom" plate, which is electrically isolated, but not mechanically fixed (can move toward the "top plate"), is charged to -8kV. I am trying to determine what force the top plate exerts on the bottom plate.
Since both plates are highly negatively charged, I would expect the two to repel one another. However, since the top plate is more negatively charged than the bottom plate, it also seems like the top plate might induce a positive charge on the bottom plate and attract it, such as it would if the bottom plate were at 0kV.
I know how to calculate the force between two plates, assuming plates are infinite, and that they are oppositely charged, but I am getting confused by the like charges; how do I go about thinking about this problem?
Thanks for the help!
Since both plates are highly negatively charged, I would expect the two to repel one another. However, since the top plate is more negatively charged than the bottom plate, it also seems like the top plate might induce a positive charge on the bottom plate and attract it, such as it would if the bottom plate were at 0kV.
I know how to calculate the force between two plates, assuming plates are infinite, and that they are oppositely charged, but I am getting confused by the like charges; how do I go about thinking about this problem?
Thanks for the help!