Horizontal and vertical component for electric field

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SUMMARY

The discussion focuses on the cancellation of vertical and horizontal components of electric fields due to symmetry in charge arrangements. Specifically, when charges are symmetrically placed above and below a center point, their vertical components cancel each other out. In contrast, if the charge arrangement is not symmetrical, such as in a 1/4 arc configuration, both x and y components will be present. The key takeaway is that symmetry dictates the presence or absence of these components in electric field calculations.

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  • Understanding of electric field concepts
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  • Knowledge of charge arrangements and their effects
  • Basic principles of symmetry in physics
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ToonBlue
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Homework Statement




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?

Homework Equations

The Attempt at a Solution



I don't seem to understand this part very well for the vertical and horizontal component.
 
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Symmetry. In the first case, you have a similar charge arrangement above and below the center, so their vertical effects cancel.
 
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
 
ToonBlue said:
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
I don't know what you mean. It's not the size of the arc, it's the symmetry.
 
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?
 
ToonBlue said:
What I mean is something like this? In this case , it will have both x and y component since there is no symmetry.
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.
 
I see thank you.
 

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