Abstract
A system employing a voltage probe attached to an XY recorder is used to sample the electrical potential over a grid of points on conducting paper. Using commercial plotting software, the three-dimensional (3D) perspective of the potential (or equipotential contour lines) may then be displayed as a function of position. The charge density and the associated electric field are obtained by direct numerical differentiation of the potential data, and charge densities are displayed in a 3D perspective to reveal their spatial variation. Experimental results for screening and image charge densities on conductors are in excellent agreement with theoretical predictions obtained using conformal mapping methods. In addition, by exploiting the analogy between electric fields and fluid flow, the experimental system may also be used to model two-dimensional fluid dynamics. In this context, results for the velocity profile and the pressure distribution surrounding a wing moving through a fluid are presented.
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