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Horizontal and vertical component for electric field

  1. Sep 6, 2015 #1
    1. The problem statement, all variables and given/known data


    At the video length 1:25 , why does the vertical component cancel out ?



    At the video length 3:55 , why does the horizontal component cancel out?
    2. Relevant equations


    3. The attempt at a solution

    I don't seem to understand this part very well for the vertical and horizontal component.
     
  2. jcsd
  3. Sep 6, 2015 #2

    Doc Al

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    Staff: Mentor

    Symmetry. In the first case, you have a similar charge arrangement above and below the center, so their vertical effects cancel.
     
  4. Sep 6, 2015 #3
    Does it mean that if the arc is 1/4 and not 1/2 , it will have both x and y component ? since there is no symmetry ? correct me if I am wrong
     
  5. Sep 6, 2015 #4

    Doc Al

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    Staff: Mentor

    I don't know what you mean. It's not the size of the arc, it's the symmetry.
     
  6. Sep 6, 2015 #5
    upload_2015-9-6_23-49-22.png

    What I mean is something like this? In this case , it will have both x and y component since there is no symmetry. Correct or ? am i wrong?
     
  7. Sep 6, 2015 #6

    Doc Al

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    Staff: Mentor

    The symmetry will be about a line from the point O to the center of the arc. Since that's not along the x or y axis, there will be an x and y component.
     
  8. Sep 6, 2015 #7
    I see thank you.
     
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