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Homework Help: E-field inside a non-conducting hollow pear.

  1. Jan 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the electric field inside a hollow non-conducting pear with a surface charge-distribution (axially symmetric too) of σ(r,θ). The charge density σ is zero at the top of the pear, and 600 C/m^2 at the bottom.

    2. Relevant equations

    I'm not sure how to approach the problem ... maybe some application of Laplace's equation.

    3. The attempt at a solution

    The electric field at any point inside the pear will be the superposition of x,y, and z fields. I assume that we can use symmetry about the z-axis to our advantage.
  2. jcsd
  3. Jan 23, 2012 #2
    Nevermind, it's just a simple application of gauss' law on the inside of the object yielding E=0 because there is no enclosed charge. (And E-z is non-zero I believe.)
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