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How to achieve higher electrical power in a smaller space with same current

  1. Dec 18, 2007 #1
    Optimal motor configuation for higher electrical power in a smaller space

    Favored (because these qualities allow the machine do quick and nimble things for a longer time)
    mechanical power
    angular acceleration

    loops, wire
    length, wire
    charge capacity
    area per loop
    diameter, wire

    Disfavored (because these qualities prevent the machine from do quick and nimble things for a long duration)

    The chart below consists of the solutions by a Microsoft Excel add-in. What the chart below shows is that in order to follow the criteria above, you have to increase certain parameters at a faster rate than others, while decreasing others in the process. The rate is r, where x=(1+r).

    x^9: resistance
    x^8: voltage
    x^7: mechanical power
    x^6: angular acceleration
    x^4: torque/volume; wire loops; torque/mass
    x^3: wire length
    x^1: torque, longevity
    x^0: charge capacity
    x^-1: current
    x^-2: area per loop
    x^-3: wire diameter; mass; volume

    Consider x=2. We would have:

    512 times the resistance
    256 times the voltage
    128 times the mechanical power
    64 times the angular acceleration
    16 times the torque/volume; wire loops; torque/mass
    8 times the wire length
    2 times the torque, longevity
    The same charge capacity
    50% of the current
    25% of the area per loop
    12.5% of the wire diameter; mass; volume

    The above suggests that while the possible mechanical power is limited by electrical power, its possible have negative relationship between power and volume, power and mass, power per current - SIMULTANEOUSLY. It's only a matter of engineering as to how small, and powerful, and how long lasting the motor can be.

    Attached Files:

    Last edited: Dec 18, 2007
  2. jcsd
  3. Dec 18, 2007 #2


    User Avatar

    Staff: Mentor

    I don't see an attachment. This also looks like coursework, but it's complex enough that I'll leave it here for now instead of moving it to homework help.
  4. Dec 19, 2007 #3
    In answer to your question, it all boils down to heat. You can put as much power wherever you want but the excess heat has to be removed. Write the general physics forum for more information.
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