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Magnetic flux- is this the correct way to solve it?

  1. May 8, 2017 #1
    1. The problem statement, all variables and given/known data
    As shown below, a rectangular wire loop of height 1.0 m, width 1.5 m, mass 0.10 kg, and resistance 10.0 Ω is pulled into a region of uniform magnetic field with magnitude 1.0 T pointing into the page (perpendicular to the plane of the loop). Determine the force necessary to pull the loop completely into the magnetic field region at a constant velocity of 5.0 m/s.

    2. Relevant equations
    magnetic flux=BA
    inducedvoltage(V) =magnetic flux/dt
    V=IR
    F=qvB
    3. The attempt at a solution
    If magnetic flux is Z then
    Z=BA
    and V= Z/t = BA/ t
    V=IR



    IR=BA/t
    Q/t *R =BA/t
    then Q=BA/R
    Q=1.0*(1.0*1.5)/10=.15C

    F=.15C*5m/s*1.0T=0.75N
     
  2. jcsd
  3. May 9, 2017 #2

    cnh1995

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    Homework Helper

    What is the emf induced in the loop when the wire is moving with a velocity of 5m/s? Use the motional emf equation.
    What is the current through the loop?

    Finally, what is the force acting on the wire due to this current?
     
  4. May 10, 2017 #3
    Thank you! I think I figured it out.I needed to use F=ILB then F=V/RLB and F=dZ/dt/R*LB =BLv/R*LB which is L^2B^2V/R
     
  5. May 12, 2017 #4

    rude man

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    Homework Helper
    Gold Member

    Looking good if you used L = side perpendicular to B and dZ/dt.
     
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