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Toroid and Solenoid Flux

  1. Jul 31, 2012 #1
    This is more a theoretical question than a practical one.
    Basically I want to know if the formulas I arrive for the flux of a Toroid and a Solenoid are correct

    Leaving aside the integration part this is the basic formula for the flux
    [itex]\phi = BNA[/itex]
    B = magnetic field
    N = number of turns of the solenoid/toroid
    A = Area

    So for the solenoid I arrive to this:
    [itex]B = \mu nI[/itex] -> n = N/L
    [itex]A = 2\pi r(r+l)[/itex] this is the area for a cylinder
    [itex]\phi = \mu nINA = \frac{\mu IN^{2}}{L}2\pi r(r+L)[/itex]

    For the toroid I arrive to this:
    [itex]B = \frac{\mu NI}{2\pi r}[/itex]
    [itex]\phi = \int BNdr = \frac{\mu IN^{2}}{2\pi}ln\frac{b}{a} [/itex]
     
  2. jcsd
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