Sketching Electric Field Lines of Circular Arc w/ Uniform Charge

AI Thread Summary
To sketch electric field lines for a circular arc with uniform charge density, one should divide the arc into small segments of charge, dQ, and draw the field lines based on the electric field produced by each segment. For a positively charged arc, the field lines will radiate outward from the arc on the outside, while on the inside, they will converge, still pointing away from the arc. The discussion also raises a question about whether the field lines should be represented in three dimensions or just within the plane of the arc. This indicates a need for clarity on the dimensionality of the sketch required. Overall, understanding the behavior of electric field lines in relation to the charge distribution is crucial for accurate representation.
DWill
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Homework Statement


Sketch a field line picture for a circular arc with a uniform linear charge density.


Homework Equations





The Attempt at a Solution


To do this do I just break up each segment on the arc into small segments each of charge dQ and draw the field line along the electric field caused by each small segment? If so, assuming the charge is positive, on the "outside" of the arc does the field spread out pointing away from the arc, and on the inside does it seem to focus to almost a point (still pointing in direction away from arc)?
Thanks
 
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Do you want the field lines in 3D or just in the plane of the arc?
 
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