Question

on what factors does the magnetic field produced by a current carrying solenoid depend

Answer 1

It depends on (1)no. Of turns per unit length of the solenoid coil, (2) permeability of the medium (3) amount of current which passes though coil B= µ*n*i
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Answer 2

the region around a magnet is termed as magnetic field..
magnetic field lines are the pictorial representation of a magnetic field..
rhe tangent of a magnetic field line at any place gives the direction of the magnetic field at that point