The strength of the magnetic field produced by a current-carrying solenoid depends on the following factors:
1. Current through the solenoid: The strength of the magnetic field is directly proportional to the amount of current passing through the solenoid. More current produces a stronger magnetic field.
2. Number of turns per unit length: The magnetic field strength increases as the number of turns per unit length of the solenoid increases. A greater number of turns increases the overall magnetic field.