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Power lines from an electrically charged ball

  1. Nov 6, 2014 #1
    1. The problem statement, all variables and given/known data
    A conductive ball of diameter 0.4 [m] is charged equally with a concentration of [itex]\sigma=8 [micro-coulon/m^2][/itex].
    What's the total number of electric field power lines, N, that extrude from the ball

    2. Relevant equations
    The electric field near a conductor is like in a capacitor:
    ##E=\frac{\sigma}{\varepsilon_0}##
    Definition of power lines:
    ##\frac{N}{A}=\varepsilon_0 E##

    3. The attempt at a solution
    ##N=A\cdot \varepsilon_0 \cdot E=\frac{A\cdot\varepsilon_0\cdot\sigma}{\varepsilon_0}=A\cdot \sigma##
    ##N=4\pi\cdot 0.4[m]^2\cdot 8E-6[Coulon]=1.6E-5[lines]##
    It should be N=4E-6[lines]
     
  2. jcsd
  3. Nov 6, 2014 #2

    andrevdh

    User Avatar
    Homework Helper

    R = 0.2 m
     
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