I have a solid cylinder with dimensions & conductivity so chosen that it has a resistance of 5 Ohm; I also need to apply a current source of 1 A at 1 Hz. I expect a voltage drop of 5 V across the two ends of the cylinder. Furthermore, I expect the electric field inside the cylinder to be (almost) uniform and homogeneous, pointing from one end to the other. How should I go about doing this? For the purpose of my project, current source is preferred to voltage source. On paper, this is a simple electrostatic experiment but I cannot replicate it in S4L.
I have tried two solvers and they each returned unexpected results:
- Magneto Quasi-Static: A U-shape wire is used as current source, with two ends of the wire contacting two ends of the cylinder, thus making a close loop. Here, a voltage sensor is defined as an integration path between the two ends of the cylinder. Result: Voltage drop across the two ends is almost zero (order 10^-9). Electric field is nonuniform and inhomogeneous. Magnetic field dominates the result.
- Electro Quasi-Static: Two circular electrodes are added at two ends of the cylinder, and they are assigned flux boundary condition; their value in A/m^2 is specified to give 1 A net current. The solver returns 0 for all field and voltage. The Solver-Log says this is a trivial system with trivial solution.