Laplace's Equation is an applet that plots the expansion of a field over time due to capacitors.

The red capacitor is set for +100V while the blue capacitor is set for -100V.  When the "Run" button is clicked, an internal clock will start the animation and the user should be able to see how the potentials of the capacitors affect the neighboring areas.

Blue areas mean -100V.

Green areas mean between -50V and -100V.

Cyan areas mean between 0V and -50V.

Red areas mean +100V.

Magenta areas mean between +50V and +100V.

Pink areas mean between 0V and +50V.

 

The graph is a Three D plot of the potentials versus position.

 

Documentation: