The experimental data for the internal magnetic field of the current solenoid measured with the Hall effect are employed to estimate the secondary effects of the Hall element，such as the voltage drop due to unequal potential and the additional potential difference due to the Nernst effect and the Righi-Leduc effect，whose influence on results is also discussed in detail. Furthermore，the theoretical formula of magnetic field distribution in the current solenoid  is applied to fit the corresponding experimental data using the Origin software. It is found that the basic parameters of the solenoid，including the number of the solenoid turns，length and the mean radius，can be accurately estimated.