Drawing equipotential lines and field lines

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Homework Help Overview

The discussion revolves around drawing electric field lines and equipotential lines for a configuration involving parallel plates, where one plate is at a positive potential and the other is grounded. Participants are sharing their attempts and seeking feedback on their drawings.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants describe their attempts at drawing the lines, noting the perpendicular relationship between electric field lines and equipotential lines. Some express uncertainty about the accuracy of their drawings, particularly regarding the equipotential lines.

Discussion Status

There is an ongoing exchange of ideas, with some participants providing feedback on each other's diagrams. One participant offers a conceptual explanation regarding the behavior of the electric field near the conducting surface, while another introduces a different problem related to drawing lines for a circle configuration.

Contextual Notes

Participants are working within the constraints of homework assignments, which may limit the information available for their drawings. There is also a mention of seeking automated tools for drawing field lines in a different geometric configuration.

tmilford
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Homework Statement



Draw the electric field lines and equipotential lines for the electrode configure. Assume one of the parallel plate is at a positive potential and the other one is grounded.

Homework Equations




The Attempt at a Solution



I know the electric field lines and equipotential lines are perpendicular. I drew the lines but am not 100% sure it's correct. I mainly have problems with the equipotential lines

Here's the original picture

http://i1209.photobucket.com/albums/cc394/alliereid1/original.png

And this is my attempt. The purple lines are the equipotential lines and the left side is positive, and black lines are the electric field lines

http://i1209.photobucket.com/albums/cc394/alliereid1/equipotential.png

It'd be great if someone could look it over to see if I'm on the right track. Thanks!
 
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here's my attempt
attachment.php?attachmentid=32656&stc=1&d=1298876151.png


red ones are equi. pot. surfaces and purple are field lines
 

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I like tmilford's better actually...

Close to the surface of a plate, the E-field should remain about parallel, but as you get closer to the conducting surface, the E-field bends more sharply toward its center.

The E-field at any point between the plate and the conducting surface = E_plate+E_surface (Vector Sum). The E_plate is constant for all space. The E_surface could be modeled as a dipole centered at the center of the surface with aggregate negative charge half-a-radius to the left and aggregate positive charge half-a-radius to the right along the central line. If you consider that only one end of the dipole primarily interacts with the region near its plate, then it looks like a point charge. Then points equidistant from the plate but farther away from the "aggregate charge position" have a less pronounced E-field in the direction of the center of the surface.

Also, the lines should not enter the material parallel to the horizontal central line because close to the surface of the conductor, they would point toward the "aggregate charge position."

Though I may have convoluted that explanation, that's my conceptual two-cents. I like tmilford's diagram better.
 
hey guys, don't mean to hijack this post, but how would i go about drawying equipotential and field lines for a small circle within a large one, off centre, toward the edge? is there a program to automate this?
i thought of drawing a square outside each of the circles and drawing a line from each corner, then rubbing out those squares and the result is something that looks right, although I'm not quite sure. any help?
 

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