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Induced EMF in a coil

  1. Apr 12, 2016 #1
    1. The problem statement, all variables and given/known data
    A 4.0 cm diameter coil (1000 turns) is at rest in the XY plane. The magnetic field in this region of space is given by B=(0.30i + 0.50t2 k) What is the induced EMF in the coil at t=2.0 seconds

    2. Relevant equations
    ε=dΦ/dt
    Φ=ABcosθ

    3. The attempt at a solution
    ε=
    d/dt( πr2)(0.03i+0.5t2 k) Cosθ
    ε=πr2cosθ *0.5*2t k

    Using trig I found θ=59° and plugging in the numbers I got ε=0.00129V k

    I assume I did something wrong. Is this anywhere close to the proper method?
     
  2. jcsd
  3. Apr 12, 2016 #2

    NascentOxygen

    User Avatar

    Staff: Mentor

    You need to first sketch the correct diagram! Draw a circle, and position your co-ordinate system inside that circle (the ring) appropriately.
     
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