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We have investigated experimentally and numerically the trapped field Bz and temperature rise ΔT on the superconducting bulk with homogeneous critical current density, Jc magnetized by the pulsed field using the solenoid coils with different inner and outer diameters. The Bz was experimentally enhanced and the ΔT was reduced using the coil with a smaller inner diameter. However, the size effects of the coil on the numerically estimated Bz and ΔT were pretty small and the results of the simulation cannot reproduce the experimental ones. The inhomogeneous distribution of the Jc certainly exists in the real bulk, and the in- homogeneous flux intrusion influences on the experimental results of Bz and ΔT.