12.4 Magnetic Fields and Moving Charges
Earth's magnetic field is similar to that of a bar magnet. Compare the two magnetic fields illustrated below. Notice that the magnetic south pole of Earth exists near the geographic North Pole.
This explains why the "north" magnetic pole of a compass is attracted to the geographic "North" Pole of the planet-which is really the "south" magnetic pole when you consider Earth as a giant bar magnet.

Magnetic Fields and Moving Charge-The Cause of Magnetism
On April 21, 1820, Hans Christian รrsted (1777...1851) was preparing for an evening lecture when he noticed that a nearby compass needle was deflected when an electric current from the battery he was using was switched on and off. The deflection of a compass needle near an electric current confirmed that a magnetic field is produced by moving charge, indicating a direct relationship between electricity and magnetism.
Watch and ListenWatch the following video clip that explains the effect of an electric current on a compass needle. Pay close attention to the materials, setup, and procedure shown in the video รrsted's Discovery-Magnetic Field from 7:00 to 7:32. What did you observe?
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รrsted had discovered that an electric current passing through a wire produces a circular magnetic field that surrounds the wire.
The direction of the magnetic field surrounding a current-carrying conductor can be determined using the "left-hand rule for current-carrying conductors." This rule states the following:
If you grasp a conductor with your left hand, such that your thumb points in the direction that the electrons are flowing, your fingers will curl around the wire in the direction that the magnetic field follows.
There is also a right-hand rule for moving positive charges. The rule states the following:
If you grasp a conductor with your right hand, such that your thumb points in the direction that the positive charges are flowing, your fingers will curl around the wire in the direction that the magnetic field follows.
magnetic flux: the number of magnetic field lines passing through a given area perpendicular to the field
solenoid : an electromagnet that operates a mechanical device by using the magnetic field produced by a current-carrying conductor wrapped into a coil
The magnetic field around a single wire is not always strong enough for practical applications (such as electromagnets). The intensity ( magnetic flux ) of the magnetic field can be increased by wrapping the current-carrying conductor around a tube numerous times to create a solenoid .
In the orientation above, the magnetic field of each coil on the tube contributes, in an additive manner, to the intensity of the magnetic field. Notice that inside the tube, the magnetic field is directed from the south pole to the north pole and that outside the tube it completes the loop, pointing from the north to the south pole.
Compare this with the magnetic field produced by a regular bar magnet.
The direction of the magnetic field "inside" the solenoid is determined, again, with a hand rule.
Grasp the coil with your left hand, such that your fingers curl around the coil in the same direction the current flows. The extended thumb will indicate the direction of the magnetic field within the coil.