This paper presents new equations for the determination of potential changes in the earth due to the groundbed. Unlike the currently used equations, the developed equations work for groundbeds with any number of anodes, either vertical or horizontal, and work for groundbeds with varied anode spacing. These equations provide a method to calculate the groundbed's area of influence, aiding in the determination of optimum groundbed location. The equations also apply to any metallic structure in an electrolyte that can be affected by direct current flow.