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June 2006, Issue 191

Earth Field Magnetometer
Cypress PSoC High Integration Challenge 2004 Winner


MAGNETISM 101

A brief overview of magnetic terms may be helpful before diving any deeper. The magnetic units I’ll refer to in this section belong to the centimeter-gram-second (CGS) measurement system.

A current flowing through a coil of a wire creates a magnetic field at its center. This has a field strength (H) measured in oersteds (Oe):

where I is the current in amps, N is the number of turns, and L is the coil length in centimeters.

Magnetism inside material is measured by its flux density (B) measured in gauss. Ferrous materials tend to pull in more than their share of the nearby field. The flux lines are concentrated or increased within the material, forming an hourglass shape. The amount of concentration is given by the relative permeability (µR). Thus, B =  µR × µ0 × H, where the permeability of free space µ0 = 1.

A ferrous material has a limit on how much magnetic flux it can accept. The material is saturated above that limit. Increasing H will no longer cause B to increase. The saturation characteristic is important enough that datasheets for inductor core materials always include a plot of B versus H, which is known as a hysteresis loop.

Nonferrous materials don’t saturate and have a relative permeability (µR) of 1, meaning they won’t affect the field. Therefore, B = H, or a 1-Oe field produces 1 G. This can cause some confusion, because the field strength of permanent magnets (including the Earth) is given in gauss rather than oersteds. However, it isn’t an issue here because they’re equivalent in air.

The SI unit of flux density is a tesla (T), where 1 T = 10,000 G. It’s customary to use the nanotesla (nT), also known as a gamma, when talking about magnetic storms because the unit size is more convenient.