How to graph equipotential lines of two charges?

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SUMMARY

This discussion focuses on graphing equipotential lines for a dipole consisting of charges (-q) and q. To accurately depict the electric field lines, one must calculate the total electric field as a vector sum at various points around the charges. The field lines are drawn in the direction of the electric field, while equipotential lines are constructed to intersect these field lines perpendicularly. This method is applicable for any number of charges and their respective strengths.

PREREQUISITES
  • Understanding of electric field concepts
  • Familiarity with vector addition in physics
  • Knowledge of dipole characteristics
  • Basic graphing skills for visual representation
NEXT STEPS
  • Study the principles of electric field lines and equipotential surfaces
  • Learn about vector addition in the context of electric fields
  • Explore graphical software tools for simulating electric fields, such as GeoGebra
  • Investigate the behavior of electric fields in multi-charge systems
USEFUL FOR

Students in physics, educators teaching electromagnetism, and anyone interested in visualizing electric fields and equipotential lines in electrostatics.

rslewis96
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The two charges are (-q) and q. I'm just curious as to how you go about graphing them.

Thanks!
 
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You have a dipole, which field you want to graph.
 
GregoryS said:
You have a dipole, which field you want to graph.

When you say field are you talking about the electric field lines? I know that when you draw the electric field lines that the equipotential lines are perpendicular to them. I'm lost as how to draw the electric field lines. I've been looking through my book and online, but can't find a way to draw them given that you have a dipole.
 
To get an approximate graph by hand:

1. Calculate the total electric field (from both charges, as a vector sum, with magnitude and direction) at many points, e.g. on a grid that covers the region around the charges.

2. At each point, draw an arrow that points in the direction of the field at that point.

3. By inspection ("eyeballing") you should be able to draw a set of lines that run from one charge to another (if the total charge is zero) or from one charge to infinity (if the total charge is not zero), and curve in such a way as to run more or less parallel to nearby arrows. These are field lines.

4. Draw a set of lines that always intersect the field lines perpendicularly. These are equipotential lines.

This should work, in principle, for any number of charges of any strength.
 

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