- #1
upabove
- 2
- 1
Hello everybody
Basically as the topic states: How can you calculate "The spatial wavelength of a Halbach array" (symbol lambda)?
Context:
The reason I ask is that since I've got bored during my easter holidays I decided to try a wee science project and try and make a model of an inductrack type MAGLEV train (like they did in this paper here http://www.osti.gov/bridge/purl.cov...61D07968C50E?purl=/632505-qkYgX3/webviewable/)
Basically for this model I need to make an inductive "track" for the train to run on which will be made up of copper coils, the train will levitate above this because permanent magnets( arranged in a halbach array( http://en.wikipedia.org/wiki/Halbach_array )) on the train will induce a current and hence magnet field in the coils once it begins traveling above a certain transition speed. However to stop me wasting lots of money on copper wire I need to try and calculate how much Inductance the track needs to achieve a realistic and satisfactory transition speed.
According to the paper I've linked above this is determined by the equation
transition speed = (lambda/2pi)(R/L)
R and L represent the resistance and inductance of the track and I've got my good old trusty multimeter for checking that, but lambda stands for the spatial wavelength of the Halbach arrays and I have no idea what that is let alone how to calculate it.
Therefore if anyone is able to offer any help it would be greatly appreciated :)
Many thanks
P.S apologies is I act dense or miss anything obvious in this thread but I have done anything with electronics since about GCSE physics so I'm abit rusty :P
Basically as the topic states: How can you calculate "The spatial wavelength of a Halbach array" (symbol lambda)?
Context:
The reason I ask is that since I've got bored during my easter holidays I decided to try a wee science project and try and make a model of an inductrack type MAGLEV train (like they did in this paper here http://www.osti.gov/bridge/purl.cov...61D07968C50E?purl=/632505-qkYgX3/webviewable/)
Basically for this model I need to make an inductive "track" for the train to run on which will be made up of copper coils, the train will levitate above this because permanent magnets( arranged in a halbach array( http://en.wikipedia.org/wiki/Halbach_array )) on the train will induce a current and hence magnet field in the coils once it begins traveling above a certain transition speed. However to stop me wasting lots of money on copper wire I need to try and calculate how much Inductance the track needs to achieve a realistic and satisfactory transition speed.
According to the paper I've linked above this is determined by the equation
transition speed = (lambda/2pi)(R/L)
R and L represent the resistance and inductance of the track and I've got my good old trusty multimeter for checking that, but lambda stands for the spatial wavelength of the Halbach arrays and I have no idea what that is let alone how to calculate it.
Therefore if anyone is able to offer any help it would be greatly appreciated :)
Many thanks
P.S apologies is I act dense or miss anything obvious in this thread but I have done anything with electronics since about GCSE physics so I'm abit rusty :P
