Question

on what factors does the magnitude of magnetic field depend.

Answer 1

The current (i) flowing through the conductor.
The distance from the magnet or the conductor. (s)

Answer 2

The strength of the magnetic field produced by a current carrying solenoid depends on:

The number of turns - larger the number of turns, greater is the magnetism produced The strength of the current - when current increases, magnetism also increases Nature of 'core-material' used in making the solenoid - if we use soft-iron as a core for the solenoid, then it produces the strongest magnetism.