The authors have reported results of MgB2 test coils that exhibited anomalously low n-value. It was discovered that the major cause of the n-value related voltage was nonuniformity of the wire along its length. Based on this finding, the development of a compact 3 T magnet has been started. The magnet consists of six coils of 30 cm bore each. The fields will be 3 T at 4 K and 1.5 T at 20 K, respectively. The coils will be cooled by thermal conduction. One of the center coils was manufactured with the refined wire of improved lengthwise uniformity. Results of tests on this coil showed no measurable n-value related voltage. Superconducting joint development has been ongoing. Current peak multifilament joints show superconductivity up to 120 A at 14 K. Further trials to achieve the full short sample operating current at each temperature are ongoing. The cryogenic design for the magnet is based on the use of dual coolants either with hydrogen or helium and consists of two distinct and separate primary and secondary cooling circuits.