We develop a simple and general method for analyzing the magnetic fields produced by power lines at "far" distances, that is, at distances large in comparison to the spacing between the line's phase conductors. Magnetic fields produced far from conventional power lines have remarkably simple properties. We present formulae for the fields produced by various conventional and unconventional power line configurations; included are line designs characterized by reduced magnetic-field levels. Errors in the formulae are less than +/-10% at the edge of a typical transmission right-of-way.