The plasma potential is measured near the edge of an electrically floating obstacle placed in a steady‐state, supersonic, unmagnetized, neutral plasma flow. Equipotential contours show the sheath of the upstream side of the obstacle wrapping around the edge of the obstacle and fanning out into the near wake. Both fluid theory and the data find the near‐wake plasma potential to be self‐similar when ionization, charge exchange, and magnetic field can be neglected. The theory also finds that fluid velocity is self‐similar, the near wake is nonneutral, and plasma density is not self‐similar. Strong electric fields are found near the obstacle and equipotential contours are found to conform to all boundaries.