This verification example considers a perfectly conducting sphere
placed between two charged capacitor plates. An axisymmetric solution
for the electrostatic potential is compared with a full 3D one, and
verified against the analytical solution U(xi) =
xi), where the electrical field is the potential
difference divided by the distance between the plates Ei =
In this example the conductive sphere is given a radius of 1 mm
while the distance between the places is 1 cm. The area of the
places is taken as 0.1 x 0.1 m and in axisymmetric coordinates a
circle with equivalent area. The applied voltage is 20 V and
dielectric permittivity of the medium ε = 5.
This model is available as an automated tutorial by selecting Model
Examples and Tutorials… > Electromagnetics > Conducting
Sphere from the File menu. Or alternatively, follow the
step-by-step instructions linked below.