The magnetic field generated travels around the wire in a specific direction in relation to the flow of electron current through the wire.

To find the direction of magnetic field travel around a wire use Maxwell's left hand rule as shown in Fig 3A

Maxwell's Left Hand Rule:

Hold the inductor in your left hand as illustrated in Fig 3a. By wrapping the left hand fingers around a wire with the thumb pointing in the direction of electron flow (- to +), the fingers will show the direction of the magnetic field travel.

The direction of the magnetic field is shown by the direction of the left hand fingers.

The field strength of an electro-magnet varies in proportion to the number of turns in the winding around the core and the number of amperes flowing through the winding.

The strength is indicated by the term ampere-turns, which is worked out by multiplying the number of turns in the winding by the amperes flowing through the winding. Fig 3b

If you place two conductors in parallel as illustrated in Fig 3b with an electron current flowing through both conductors, the magnetic field set up is strengthened and surrounds both inductors as shown in Fig 3c

In fig 3c, the electrons are flowing into the page causing the electro-magnetic field to be generated in an anti-clockwise

Fig 3a

Fig 3b

Fig 3c