This paper describes a means for producing single- and multiple-helical microcoils by using microcontact printing to print lines on cylinders, This method was used to fabricate coils made of wires with widths and spaces between 150-25 mu m wrapped around cylinders with diameters between 100-400 mu m. Results show that microelectromagnets using these microcoils produce magnetic flux densities in excess of 0.4 T and can be switched on and off on a submillisecond time scale.