- #1
Nono713
Gold Member
MHB
- 618
- 4
Hi!
Suppose I have a cylinder of pyrolytic carbon graphite (strong diamagnet) that's vertically placed inside a hollow cylinder made out of approximately radially magnetized neodymium. Assume the graphite is frictionlessly held into place vertically somehow (so gravity can be ignored) but can still move in the horizontal plane.
1) Will the graphite find a stable equilibrium in the center of the neodymium ring, or is it unstable?
2) Is this diamagnetic restoring force proportional to the strength of the surrounding magnets? (I believe so but I'd like confirmation)
3) Do the answers to the previous questions change if the graphite is spinning about its axis (assume negligible vibration)?
4) Can this restoring force be quantified, for instance in Newtons per distance from equilibrium?
4b) If it can't be easily quantified, would it at least be possible to realistically get ~ 0.1N of force on the graphite or are passive diamagnets just that weak, assuming reasonable cylinder sizes (say a few cm diameter/height)?
This isn't a homework problem, it's an engineering issue and I have found it quite difficult to find adequate information about how to measure the strength of diamagnets in various situations.
Thanks for any insight!
Suppose I have a cylinder of pyrolytic carbon graphite (strong diamagnet) that's vertically placed inside a hollow cylinder made out of approximately radially magnetized neodymium. Assume the graphite is frictionlessly held into place vertically somehow (so gravity can be ignored) but can still move in the horizontal plane.
1) Will the graphite find a stable equilibrium in the center of the neodymium ring, or is it unstable?
2) Is this diamagnetic restoring force proportional to the strength of the surrounding magnets? (I believe so but I'd like confirmation)
3) Do the answers to the previous questions change if the graphite is spinning about its axis (assume negligible vibration)?
4) Can this restoring force be quantified, for instance in Newtons per distance from equilibrium?
4b) If it can't be easily quantified, would it at least be possible to realistically get ~ 0.1N of force on the graphite or are passive diamagnets just that weak, assuming reasonable cylinder sizes (say a few cm diameter/height)?
This isn't a homework problem, it's an engineering issue and I have found it quite difficult to find adequate information about how to measure the strength of diamagnets in various situations.
Thanks for any insight!