Question

on what factor does the magnetic field produced by current carrying solinoid ?

Answer 1

the direction of electricity , the batter quantity and the loops or coil

Answer 2

    We assume that the solenoid has a total of N turns and is of length L.  The number of turns per unit length = n = N/L.  We assume that the solenoid has a large length L compared to its radius r.  ie., r << L.  

For a Solenoid :   Magnetic Field B due to current in the coil 
      B = μ₀ n i 

Magnetic field B is a vector quantity.

1.  B depends on the value of the current.
2.  The direction B depends on the direction of current.  The magnetic field lines are parallel to the axis of the solenoid.
3.  The number of turns n per unit length.
4.  If there is any ferromagnetic/dielectric material inserted inside the solenoid.