Problem

Sketch the electric field lines in the vicinity o…

03:17

Problem 10 Medium Difficulty

Sketch the electric field lines in the vicinity of the conductor in Figure 18.47 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?

Answer

see solution.

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Physics 102 Electricity and Magnetism

College Physics for AP® Courses

Chapter 18

Electric Charge and Electric Field

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Top Physics 102 Electricity and Magnetism Educators

Christina K.

Rutgers, The State University of New Jersey

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Video Transcript

toe find electric field lines. We are given that electric field lines are uniform initially, So they are, I don't know like this with this direction. Now replace a conducting material with some sort of cylindrical structure, which is not exactly cylindrical. No electric field lines, which are far away from the conductor. Us looking Jordan thoroughly still, I know if it did, they're not completely unaffected. But it's a good approximation. No, the lines were paradigm. So lines which are away from the conductor there still parable on DDE. They turn in it on this conductor like this on everything is symmetric because there is the axial symmetry in this case. So the lines will go somewhat like this on DDE the directions. It's like this. And as you can see, the lines terminate on this conductor. So there is a negative judge here? No, the same lines. We know that there is a line electric field line away from the conductor on the right inside as well. That means, and they are going away from conductor. That means they must originate under conductor. So let me just connect them. So since that originating from the conductor, it means there is a plus charge on this side. So this is induced charge, as you can see there, which wasn't there before on DDE There are some lines size also should drop, which give you more idea about the bending off electric field lines. They should go like this. Also, that the there are lines all over the surface of this which I cannot draw that accurately again. *** too positive on their old symmetric because we have axial symmetry in this case on DDE. As you can see, let me draw this again. Electric field lions will be bent because of the news charge under conductor. So when you keep any conductor in the electric field, you can see that negative charges and positive charges are separated because conductor have, um, extra electrons, which that's that's what makes conductor conducting material. So these access electrons go to the left in this case, so leaving positive charge or deficiency off negative charge on the right hand side, which makes positive, which makes right inside positive

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