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Flux Linkage with a coil in a solenoid

  1. Nov 23, 2008 #1
    1. The problem statement, all variables and given/known data
    A solenoid of cross-sectional area 2*10^-4 m^2 and length 0.5m having 500 turns is to be used to produce a uniform magnetic field some distance close to the center of the solenoid. Find the current that must flow in the solenoid to produce a magnetic flux density of 3*10^-3 Tesla. What is the flux linage with the coil?

    2. The attempt at a solution

    I worked out the first part. I found the current and it is 2.39A (correct according to the answer given by the book)

    Now the second part, i used the equation flux linkage = magnetic flux density * Area
    = (3 * 10 ^-3) * (2*10^-4)
    = 6*10^-7 Webers

    Apparently my second answer is incorrect. According to the book it's supposed to be 3*10^-4 Wb. Can someone please help me find my mistake? Thanks a lot
  2. jcsd
  3. Nov 23, 2008 #2


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    Homework Helper

    Hi BadlyAddicted,

    That's right for the flux through one loop of the solenoid. So how would you find the flux linkage for the entire solenoid?
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