How to graph equipotential lines of two charges?

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Discussion Overview

The discussion revolves around the process of graphing equipotential lines for a system of two charges, specifically a dipole consisting of charges (-q) and q. Participants explore the relationship between electric field lines and equipotential lines, as well as methods for visualizing these concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses curiosity about how to graph equipotential lines for a dipole consisting of charges (-q) and q.
  • Another participant identifies the scenario as a dipole and inquires about which field the original poster intends to graph.
  • A participant seeks clarification on whether "field" refers to electric field lines and notes the relationship that equipotential lines are perpendicular to electric field lines.
  • A later reply provides a step-by-step method for approximating the graph by hand, including calculating the electric field vector sum, drawing field lines, and then drawing equipotential lines that intersect perpendicularly.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best method for graphing the equipotential lines, and multiple approaches and clarifications are presented without resolution.

Contextual Notes

The discussion includes assumptions about the behavior of electric fields and equipotential lines, as well as the need for specific calculations that may depend on the configuration of the charges.

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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