  We developed a metallic pressure cell made of nickel-chromium-aluminum
(NiCrAl) for use with a non-destructive pulse magnet and a magnetic
susceptibility measurement apparatus with a proximity detector oscillator (PDO)
in pulsed magnetic fields of up to 51 T under pressures of up to 2.1 GPa. Both
the sample and sensor coil of the PDO were placed in the cell so that the
magnetic signal from NiCrAl would not overlay the intrinsic magnetic
susceptibility of the sample. A systematic investigation of the Joule heating
originating from metallic parts of the pressure cell revealed that the
temperature at the sample position remains at almost 1.4 K until approximately
80 $\%$ of the maximum applied magnetic field ($H_{\rm max}$) in the
field-ascending process (e.g., 40 T for $H_{\rm max}$ of 51 T). The
effectiveness of our apparatus was demonstrated, by investigating the pressure
dependence of the magnetization process of the triangular-lattice
antiferromagnet Ba$_3$CoSb$_2$O$_9$.
