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Sketch the electric field lines in the vicinity of the conductor in Figure 18.48 given the field was originally uniform and parallel to the object's long axis. Is the resulting field small near the long side of the object?
Question Image
<b>Figure 18.48</b> An ellipsoid conductor
Figure 18.48 An ellipsoid conductor
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Final Answer
  1. see solution video for drawing
  2. Yes, the resulting field is smaller near the long side.
Solution Video

OpenStax College Physics Solution, Chapter 18, Problem 11 (Problems & Exercises) (1:32)

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Video Transcript
This is College Physics Answers with Shaun Dychko. Initially we have an electric field of parallel lines pointing to the right side, and afterwards we introduce this conducting object into that field. And what it’s going to do is the field will result in charge distribution in this conductor. We can think of electric field lines as pointing in the direction of the force that would be applied on a positive charge, so you can think of it as pushing positive charges away to the right hand side, although we know that positive charges are in the nucleus so they don’t actually move. And so instead what happens is negative charges are attracted towards this end here. So we have negative charges on this end, positive charges on this end, and so these field lines are going to stop on the object. And then sort of continue from the other side, and this is resulting in fewer field lines on the long side of this object. So the answer to part b is the resulting field is going to be smaller here because we see only one field line near this location here whereas before there were two field lines you could say. But this field line has now been intercepted and then reemerged you might say from the other side. There we go.