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Coercive field

What is a coercive field? What is the coercive field strength?

The coercive field refers to a specific magnetic field strength that is required to demagnetise a permanent magnet. This happens when a permanent magnet is placed in an inversely polarised magnetic field of coercive field strength Hc. There are two coercive field strengths. The lower coercive field bHc compensates for the field of the permanent magnet. After switching off, magnetisation, i.e. remanence, can still be measured. The higher coercive field strength jHc, on the other hand, demagnetises the permanent magnet so that it must be re-magnetised after the opposing field is switched off.
Table of Contents
A magnetised ferromagnetic material can be demagnetised by various processes. For example, by strong impacts on the material or by heat. However, demagnetisation also takes place in an external opposing magnetic field. The opposing field strength required for demagnetisation is called coercive field strength.

Experimental testing of the coercive field

To test this assertion experimentally, we first need to magnetise a ferromagnetic material. To do this, you can hold a ferrous material, such as a screw, between the north pole and the south pole of two permanent magnets and then carefully pull them away from the screw in both directions. This magnetises the screw and afterwards, it has a magnetically attractive effect, for example, on pins.

The magnetisation of the screw is lost if it is heated or subjected to strong vibrations (e.g. hard blows with a hammer). Another way to demagnetise the screw is to expose it to a magnetic field of opposite polarity. It must have the strength of the so-called coercive field strength. If the screw was magnetised by the head of the screw being in contact with the north pole of a permanent magnet and the tip being in contact with the south pole, the screw can be demagnetised by exposing it to a weaker and oppositely directed magnetic field. The head of the screw must be in contact with the south pole of a permanent magnet and the tip of the screw must be in contact with the north pole, i.e. exactly the opposite of the magnetisation. If magnets as strong as the magnets used for magnetisation were utilised for demagnetisation, the screw would be magnetised again, only with the poles reversed.


Illustration 1: Hysteresis curve for a magnetically soft material. For the still non-magnetised material, the red 'initial magnetisation curve' shows the course of the magnetisation over the external field. Typical points on the hysteresis curve are the coercive field Hc (more precisely bHc, see left), which is necessary to compensate for the magnetisation of the material by the external field, the remanence BR, which denotes the remaining flux density when the external field disappears, and the saturation flux density BS, at which all electron spins are aligned.
Illustration 1: Hysteresis curve for a magnetically soft material. For the still non-magnetised material, the red 'initial magnetisation curve' shows the course of the magnetisation over the external field. Typical points on the hysteresis curve are the coercive field Hc (more precisely bHc, see left), which is necessary to compensate for the magnetisation of the material by the external field, the remanence BR, which denotes the remaining flux density when the external field disappears, and the saturation flux density BS, at which all electron spins are aligned.
The relationship between the magnetic flux density B inside the screw and an external magnetic field H is very complicated. It is described by the so-called hysteresis curve, whereby the red part of the curve shows the relationship between B and H for a completely non-magnetised material (see Illustration 1).

The magnetic flux increases in a complicated manner with the external magnetic field H until a magnetic flux BS is reached at which all magnetic moments are aligned in parallel. This is referred to as magnetic saturation and the saturation field strength BS, even though the designated point BS actually describes a saturated magnetic flux.

If the external field is switched off, the magnetic flux inside the test piece does not return to zero, but a remanence BR remains. The remanence of strength BR remains if, and only if the material was previously exposed to the saturation flux density BS. This flux density has aligned all magnetic moments in the material.

How do you measure the coercive field strength?

The coercive field strength (Hc) is a measure of the resistance of a magnetic material to demagnetisation. It is determined by means of hysteresis curve measurement (see Illustration 1). To do this, the material is exposed to an external magnetic field whose strength is gradually increased and then reduced again to zero. The coercive field strength corresponds to the magnetic field strength at which the magnetisation of the material falls to zero. This value can be read on the hysteresis curve as the intersection of the curve with the horizontal axis at which the magnetisation is zero (in Illustration 1, this intersection is marked with Hc).
An experimental setup for measuring the hysteresis curve typically comprises a test piece of the material to be examined, a coil for generating the magnetic field, a magnetometer for measuring the magnetisation of the test piece and a control unit that varies the external magnetic field. The test piece is placed in the coil and the control unit gradually increases the current through the coil, changes the direction of the current and reduces it again to create a cyclic magnetic field. The magnetisation of the test piece is continuously measured and correlated with the applied magnetic field to create the hysteresis curve (Illustration 2).

Illustration 2 shows an experimental setup for measuring the coercive field strength. First, a voltage U is applied, which successively increases the current I through the coil. This leads to a magnetic flux density B, which magnetises the ferromagnetic material in the coil and causes a magnetic field H that can be measured with a Hall probe. If the voltage U is now turned to zero, no more current flows through the coil and the external flux density B is zero. The remaining measured field strength Hc on the Hall probe is then the coercive field strength (cf. Illustration 1).
Illustration 2: Experimental setup for measuring the coercive field strength using a ferromagnetic material in a coil to generate a magnetic flux density and a Hall probe to measure the magnetic field
Illustration 2: Experimental setup for measuring the coercive field strength using a ferromagnetic material in a coil to generate a magnetic flux density and a Hall probe to measure the magnetic field

Difference between the coercive field strengths bHc and jHc

To make the magnetic flux density inside the material disappear completely, an external magnetic field of coercive field strength Hc must be applied.

A distinction is made between two different coercive field strengths:
  • The coercive field strength bHc is the coercive field strength of the flux density.
  • The coercive field strength jHc, which is referred to as the coercive field strength of the magnetisation (or the magnetic polarisation).

The following will explain it in more detail:

When a magnetised material (i.e. a magnet, for short) is exposed to a field strength of bHc, the magnetic flux density in the magnet disappears. The magnetic flux density inside the magnet is then zero. However, this is only because the remaining magnetisation is compensated for by the external opposing field. Both fields cancel each other out inside the magnet. The material itself is therefore still magnetic. You will notice this immediately when the external opposing field is switched off again, as magnetic forces still emanate from the material.

If the external field strength is increased to jHc, ai.e. the strength of the opposing field is increased, then the magnet is permanently demagnetised.

In Illustration 1 above, the field strength bHc is shown as Hc. The magnetic flux density B inside the magnet is only zero as long as bHc is present. The permanently demagnetising field strength jHc is not shown and is greater in magnitude than bHc. This coercive field strength of the magnetisation jHc not only compensates for the magnetic field of the aligned atomic spins in the material, but also leads to a cancellation of the stabilisation of the spin alignment due to the exchange interaction. The magnetic field strength inside the magnet is not zero for opposing fields greater than bHc, but has a certain value. However, it is directed in the opposite direction to the aligned atomic spins and attempts to reverse them. At jHc, the magnetic field can overcome the exchange interaction and actually leads to the atomic spins being reversed. The material is thus demagnetised. A further increase in the magnetic field strength results in a new alignment of the atomic spins in the opposite direction. A new magnetisation can be detected, but with reversed magnetic polarisation, i.e. with reversed poles compared to the original polarity of the magnet.



Portrait of Dr Franz-Josef Schmitt
Author:
Dr Franz-Josef Schmitt


Dr Franz-Josef Schmitt is a physicist and academic director of the advanced practicum in physics at Martin Luther University Halle-Wittenberg. He worked at the Technical University from 2011-2019, heading various teaching projects and the chemistry project laboratory. His research focus is time-resolved fluorescence spectroscopy in biologically active macromolecules. He is also the Managing Director of Sensoik Technologies GmbH.

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