  We present the fabrication and test results of Hot-Isostatic-Pressed (HIPed)
Powder-in-Tube (PIT) MgB$_2$ coils. The coils properties were measured by
transport and magnetization at different applied fields ($H$) and temperatures
($T$). The engineering critical current ($J_e$) value is the largest reported
in PIT MgB$_2$ wires or tapes. At 25 K our champion 6-layer coil was able to
generate a field of 1 T at self-field ($I_c >$ 220 A, $J_e \sim 2.8 \times
10^4$ A/cm$^2$). At 4 K this coil generated 1.6 T under an applied field of
1.25 T ($I_c \sim350$ A, $J_e \sim 4.5 \times 10^4$ A/cm$^2$). These magnetic
fields are high enough for a superconducting transformer or magnet applications
such as MRI. A SiC doped MgB$_2$ single layer coil shows a promising
improvement at high fields and exhibits $J_c > 10^4$ A/cm$^2$ at 7 T.
