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
[size=85] These images were obtained using an [url=https://www.geogebra.org/m/msrrjbdv]applet[/url]. You can download any example here by clicking on the corresponding button. For the combinations of charge locations and values of the exponent [b]m[/b] you have chosen, you can consider other cases.[br] The case [b]m[/b]=1 corresponds to the [url=https://en.wikipedia.org/wiki/N-ellipse]n-ellipse[/url] considered in geometry.[/size]
[b]1. Equipotential lines [color=#ff00ff]φ(x,y)[/color]=[color=#ff0000]c[/color] and Vector field [color=#980000]E[/color] lines. Scalar potential functions φ(x,y) over the xy-plane.[/b]
[b]2. Iso-Magnitude Lines: modE=[color=#ff0000]c[/color]. Distribution of Magnitudes of the vector field modE(x,y) over the xy-plane . [/b]
