The design and use of capacitor-driven pulsed magnets with wire-wound coils are reviewed. Magnet design is governed by two basic factors: the pulse duration which depends on the mass of the coil and the available energy; the peak field which depends on the mechanical strength of building materials and on the geometry. Options for the design of future high performance magnets are discussed. These magnets are characterized by a relatively small bore (10-20 mm) and limited pulse duration (typically 10 ms). It has been established that most solid state experiments can be successfully conducted under these conditions, at temperatures down into the millikelvin range.