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Coulomb's law and Electric field intensity problem

  1. Oct 31, 2015 #1
    I am not getting the answer to this question as shown in the text book.
    Please help...!

    My attempt is in the last attachment.

    Thanks.!
     

    Attached Files:

  2. jcsd
  3. Oct 31, 2015 #2

    blue_leaf77

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    Be carefull with the absolute sign in the inequality. ##0.1 \leq |x| \leq 0.2 = (x\leq -0.1 \cup x\geq 0.1) \cap -0.2\leq x \leq 0.2##.
     
  4. Nov 2, 2015 #3
    New attachment
     

    Attached Files:

  5. Nov 2, 2015 #4
    New attachment
     

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  6. Nov 3, 2015 #5

    blue_leaf77

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    Yes, I think that should give you the correct answer.
     
  7. Nov 3, 2015 #6
    Is it addition of subtraction in between...?
     
  8. Nov 3, 2015 #7

    blue_leaf77

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    On a second thought, I think your the integration volume should be eight small cubes of sides 0.1 at each corner of a large cube of sides 0.4. As illustration for x-y plane, see picture below. The intersection area in that picture actually forms four long bar of square cross section when put in a 3D coordinate. If you add the last region corresponding to the inequality for ##z##, you should get 8 cubes as the integration volume.
     

    Attached Files:

    Last edited: Nov 3, 2015
  9. Nov 3, 2015 #8
    Thanks very much.
    Got a very good understanding of it.
    So all the cubes has a pair of opposite sign and they cancel out each other.
     
  10. Nov 4, 2015 #9

    blue_leaf77

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    You have to do the calculation to see if that's true.
     
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