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Problems of E-field of a Continuous Charge Distribution

  1. Mar 14, 2015 #1
    • Warning: Template not used to format problem
    dE = ke(dq/r2)
    How to change to complicated equation in the following picture?
     

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  2. jcsd
  3. Mar 15, 2015 #2

    haruspex

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  4. Mar 15, 2015 #3
  5. Mar 15, 2015 #4

    haruspex

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    Looks right.
     
  6. Mar 15, 2015 #5
    In fact, I don't understand although I can deduce it.
    The volume of sphere is (4/3)πR3, (πR2 x dz) = base area x height = volume of cylinder
    Whether I got wrong about the picture is talking about the cylinder not sphere?

    Thanks.
     
  7. Mar 15, 2015 #6

    haruspex

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    dz indicates an arbitrarily thin slice. Such a thin slice of a sphere is effectively a very short cylinder. This is the basis of calculus.
     
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