Images of 11 examples (m =1) of visualizations of scalar and vector fields using Equipotential, Vector Field and Iso-Magnitude Lines. The potential function is φ(r) = Σqₖ*|rₖ –r|ᵐ
These images were obtained using an applet. You can download any example here by clicking on the corresponding button. For the combinations of charge locations and values of the exponent m you have chosen, you can consider other cases.
The case m=1 corresponds to the n-ellipse considered in geometry.
1. Equipotential lines φ(x,y)=c and Vector field E lines. Scalar potential functions φ(x,y) over the xy-plane.
2. Iso-Magnitude Lines: modE=c. Distribution of Magnitudes of the vector field modE(x,y) over the xy-plane .
