jcx
Headphoneus Supremus
- Joined
- Jul 24, 2002
- Posts
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- 371
I am describing how the principle/definition is used by designers, manufactures of motors when communicating with other engineers - it is assumed the constant total conductor cross section, swapping wire size for turns/length with ideal transformer relations can be applied to get "the same" motor that works at differing I,V ratio that the user may want
this just is the industry standard engineering assumption - and if you want to talk with motor designers you need to learn it, not start arguing that you have a personal interpretation of "thinner wire" that means less mass, lower efficiency
wire size, resulting headphone Z is a "free variable" because you can design the voice coil motor with voice coil conductor material, cross section area and mass - and set all electro-acoustic parameters to the design goals
then you can select wire size, number of turns that fits the geometry for any electrical Z within a range, limited by packing factor/coil dimensions/layers/fraction of area wasted in minimum practical insulation thickness
this can be seen in practice with dual voice coil loudspeaker drivers, and that some loudspeaker drivers are offered with the same model #, same response with different Z; commonly 4, 8, sometimes 16 Ohms
if you want to talk differences in motor designs that give different efficiency, damping, bass resonance frequency, other electro-acoustic properties then it is worth learning what motor design engineers use as design factors
for dynamic drivers with voice coil motors Thiele-Small parameters are widely accepted, used - even by thousands of amateur/hobbyist speaker builders
googling BL product gets the Wikipedia Thiele-Small article as 1st hit - I do try to provide enough info that interested people can get to the background material
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html is the fundamental
then you move to the practical implementation - say you can fit one length L of some wire into a voice coil in the magnet gap - then calculate the force/A
or you could use 1/2 diameter wire, which fits 4x L into the same voice coil cross section - now you have 4x force/A - but your wire can only carry 1/4 of the current at the same loss from resistance
so the net result looks just like you included an ideal electrical step-up transformer in series with the 1st 1 L design's electrical terminals
this just is the industry standard engineering assumption - and if you want to talk with motor designers you need to learn it, not start arguing that you have a personal interpretation of "thinner wire" that means less mass, lower efficiency
wire size, resulting headphone Z is a "free variable" because you can design the voice coil motor with voice coil conductor material, cross section area and mass - and set all electro-acoustic parameters to the design goals
then you can select wire size, number of turns that fits the geometry for any electrical Z within a range, limited by packing factor/coil dimensions/layers/fraction of area wasted in minimum practical insulation thickness
this can be seen in practice with dual voice coil loudspeaker drivers, and that some loudspeaker drivers are offered with the same model #, same response with different Z; commonly 4, 8, sometimes 16 Ohms
if you want to talk differences in motor designs that give different efficiency, damping, bass resonance frequency, other electro-acoustic properties then it is worth learning what motor design engineers use as design factors
for dynamic drivers with voice coil motors Thiele-Small parameters are widely accepted, used - even by thousands of amateur/hobbyist speaker builders
googling BL product gets the Wikipedia Thiele-Small article as 1st hit - I do try to provide enough info that interested people can get to the background material
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html is the fundamental
then you move to the practical implementation - say you can fit one length L of some wire into a voice coil in the magnet gap - then calculate the force/A
or you could use 1/2 diameter wire, which fits 4x L into the same voice coil cross section - now you have 4x force/A - but your wire can only carry 1/4 of the current at the same loss from resistance
so the net result looks just like you included an ideal electrical step-up transformer in series with the 1st 1 L design's electrical terminals