Floating Potential Condition¶

The floating potential condition imposes a constraint on the electric potential \(\phi\), requiring that its value in a given region be constant:

where \(\Omega\) is the given region of space. This condition is used when a region must be held at a constant (but a priori unknown) electric potential while remaining in contact with surrounding regions where \(\phi\) is determined by solving the field equation under the prescribed boundary conditions.