# Lines of Force for Two Point Charges

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In an earlier Demonstration by Stephen Wolfram, two-dimensional equipotential contours , representing cross sections of equipotential surfaces, were plotted for two point charges of variable magnitude and location. It was also possible to make a vector plot of the corresponding electric field . It is much trickier to plot the lines of force emanating from a positive point charge and converging on a negative point charge. These are everywhere tangent to the electric field vectors and form a set of contours , shown as red curves, everywhere orthogonal to the equipotentials , shown in gray.

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Contributed by: S. M. Blinder (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: lines of force for two unequal charges of opposite sign

Snapshot 2: repulsion between like charges

Snapshot 3: lines of force for a point dipole, obtained for two infinitesimally separated opposite charges

## Permanent Citation

"Lines of Force for Two Point Charges"

http://demonstrations.wolfram.com/LinesOfForceForTwoPointCharges/

Wolfram Demonstrations Project

Published: March 7 2011