Question

what is magnetic field draw the magnetic field lines around a current carring conductor

Answer 1

The field around a magnet in which magnetic effect can be sensed is called a magnetic field.
magnetic field lines around a current carrying conductor are in the attachment.

Answer 2

The magnetic field can be defined as:

“A region around/surrounded by a moving electric charge or a magnetic material within which the force of magnetism acts.”

How does Magnetic Field occur?

If you are wondering how Magnetic fields occur. Well, it occurs whenever a charge is in motion. That being said if you apply more charge in the motion the strength of a magnetic field usually increases. Besides, Magnetism and magnetic fields are part of the electromagnetic force which is indeed one of the four prime forces of nature.