What produces a magnetic field

All magnetic fields are created by moving charged particles. So guessed Particles produces magnetic field (electric Currents)

Magnetic field is defines as an area in which effect of magnetism can be felt. It is produced only a moving charge or particle and is of two types:

Permanent

Temporary

Permanent magnets are found in nature and have magnetic dipoles in them which are in constant motion and hence shows a strong magnetic character whereas temporary magnetic field can be generated by a current carrying material. When current flows through a material, its moving particles produces a magnetic field which stays until the current is passing or particles are in motion. A stationary particle can never generate a magnetic field.