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Parallel plate capacitor,displacement current.

  1. Feb 6, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider a parallel plate air filled capacitor with plate area 10cm2
    seperated by a distance 2mm.The potential difference across the plate varies
    as V=360 sin(2π 106t) volts, where t is in seconds.Neglecting
    the fringe effects calculate the displacement current flowing through the
    capacitor.

    3. The attempt at a solution
    [tex]
    E=(V/d)=((360)/(2∗10⁻³))sin(2π∗10⁶t)=180∗10³sin(2π∗10⁶t)[/tex]
    [tex]Displacement current = ε₀(dE/dt)=10.01cos(2π∗10⁶t)[/tex]

    This is wrong somewhere and I donno why the area is given.

    Also i have trouble in understanding what this displacement current means. Is this purely theoretical current or do this actually exist?
     
  2. jcsd
  3. Feb 6, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Do a units check on your equation ε₀(dE/dt).
     
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