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The research program for an eventual neutrino factory or muon collider needs a magnet of /spl sim/0.15 m diameter bore to generate /spl sim/20 T over a length of /spl sim/0.3 m. Downstream for /spl sim/3 m the held should fall gradually to /spl sim/1.25 T, while the bore increases fourfold inversely as the square root of the field. A conventional magnet would require /spl sim/40 MW; a superconducting or hybrid magnet might cost tens of millions of dollars. An economically feasible system employs a pulse magnet precooled by liquid nitrogen, with two sets of coils energized sequentially. An outer set of coils of /spl sim/12 tons, energized in /spl sim/20 s by a 16 kA, 250 V supply available at Brookhaven National Laboratory, generates a peak field of /spl sim/9 T and stores /spl sim/20 MJ. A resistor of /spl sim/ 1/4 /spl Omega/ inserted across the terminals of the set introduces a voltage drop, initially /spl sim/4 kV, to energize an inner set of coils to /spl sim/10 kA in /spl sim/ 1/4 s. This set adds /spl sim/13 T to the /spl sim/7 T remaining from the enter set, whose current has decayed to /spl sim/12 kA. Complicating the design is a superconducting coil, once part of the PEP-4 detector at the Stanford Linear Accelerator Center, that begins only /spl sim/2.2 m downstream and is sensitive to eddy-current heating by rapid flux changes. Therefore the proposed magnet system includes a conventional DC coil of/spl sim/0.7 MW to distance the pulse magnet from the PEP-4 coil. Also, a bucking coil in series with the outer set reduces by an order of magnitude the pulsed flux seen by the PEP-4 coil. The bucking coil serves also to reduce the axial force on the PEP-4 cryostat to below its limit of 200 kN.