Magnetic Field Intensity "H"
What it is
Magnetic field strength (H) is the amount of magnetizing force. It is proportional to the length of a conductor and the amount of electrical current passing through the conductor. Magnetic field strength is a vector quantity whose magnitude is the strength of a magnetic field at a point in the direction of the magnetic field at that point. Flux density (B), the amount of magnetism induced in a body, is a function of the magnetizing force (H).
History
The words magnet and magnetism are derived from the Greek word "magnetite". Magnetite, a magnetic oxide of iron, was mined in Magnesia and mentioned in Greek texts as early as 800 BC. Thales of Miletus (640-547 BC), who lived nearby, was the first to study magnetic forces. He knew that magnetite attracts iron and that rubbing amber (a fossil tree resin that the Greeks called elektron) would make it attract lightweight objects such as feathers.

In 1269 Petrus Peregrinus de Maricourt experimented with magnetism and wrote "Letter on the Magnet". He used a thin iron rectangle to plot the "field" lines of a spherically shaped piece of magnetite (Lodestone), and was the first to associate a field with a force.

In 1750, John Michell (1724-1793) showed that the attraction and repulsion of magnets decrease as the squares of the distance increased.

In 1785, Charles Augustin Coulomb (1736-1806) showed that both magnetic and electric forces experienced an inverse-square dependence on distance, now called "Coulomb's law" in the case of electrostatics.

In 1820 Hans Oersted (1777-1851) was the first person to observe the link between electricity and magnetism, when he observed that the needle of a compass near a wire conducting electrical current deflected when current was flowing in the wire. He also noted that the compass needle direction depended upon the direction of the current and the intensity of deflection depended upon the amount of current.

In 1824 William Sturgeon (1783-1850)  invented the electro-magnet, and in 1832 invented the electric motor.

In 1831 Michael Faraday (1791-1867) discovered an effect inverse to that found by Oersted. Faraday discovered that moving a wire in a magnetic field created an electrical current, whereas Oersted and Sturgeon had discovered that an electric current creates a magnetic field. Faraday determined that there was a mutually-perpendicular relationship between the electrical current, magnetism and motion. For example, electricity moving west to east, through a magnetic field running north to south is deflected upwards. If the electricity is confined within a wire, the wire is deflected upwards along with the electricity. Later electricity became identified with electrical charges. In 1845 Michael Faraday discovered that light propagation in a material can be influenced by external magnetic fields

Joseph Henry (1799-1878) discovered the transformer and inductance. It is also interesting to note, that Henry had a telegraph system working several years before Samuel Morse did, and that he demonstrated the wireless transmission of electro-magnetic signals fifty years before Hertz did. In 1831, he invented the solenoid, which was the first device that used electricity to produce movement.

In 1864 James Clerk Maxwell (1831-1879) published his theory of the electromagnetic field.


Common equations
flux density (B) = magnetic field strength (H) * permeability
magnetic field strength (H) = current / length

Units
amperes per meter
ampere turns per inch
Gilberts per cm
lines per in^2

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