  We give an in-depth analysis of a 1-parameter family of electrified droplets
first described in D. Khavinson et. al. (2005). We also investigate a technique
for searching for new solutions to the droplet equation, and obtain a new 1
parameter family of physical droplets, which are, to our knowledge, the first
physical droplets discovered since the example of E.B. McLeod (1955).
