Electric Flux and Net Charge

  1. 1. The problem statement, all variables and given/known data

    A uniformly charged conducting sphere of 1.6 m diameter has a surface charge density of 8.0 µC/m2. What is the net charge of the sphere, and what is the total electric flux leaving the surface of the sphere?

    2. Relevant equations

    surface charge density = q/A
    flux = E x A
    flux = charge enclosed/ permittivity constant (Epsilon-naught)

    3. The attempt at a solution
    q = surface charge density x A
    so (8e-12)x(4xpix 0.8^2) = 6.434e-11
    then E = k(q/r^2) = .90377 = E
    so flux = E x A = .90377x 4x pi x .8^2
     
  2. jcsd
  3. Doc Al

    Staff: Mentor

    Careful: μC = 10-6C.
    That's too much work. Once you find the correct charge, just use Gauss's law to find the flux. (But your method would work also. :wink:)
     
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