This paper deals with eddy currents in bounded plane conductors. Specifically, we are concerned with the semi‐infinite plane sheet and a conducting disk. The eddy‐current distribution in a perfectly conducting sheet or disk due to a magnetic monopole source is obtained by a technique due to Sommerfeld. Sommerfeld's analysis for the disk is incomplete, but we have completed the derivation for this geometry. The eddy‐current decay in a semi‐infinite sheet of finite conductivity is solved by an approximate technique. The results are used to calculate lift, drag, and transverse forces on a magnetic monopole moving parallel to the edge of a semi‐infinite sheet of finite conductivity.