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274                           Magnetic materials

                                                                               Cobalt steel

                                                    Tungsten steel




                                                       Iron                      Iron





                                             Alnico 2
                                                             Alnico 5
                                                                               SmCo
     Fig. 11.13
     The evolution of the magnetic circuit
     of moving-coil meters reflects the
     progress in magnet materials
     development. Coil size and magnetic
     field are equal in all five sketches.        o r I  n           o r I  n         o r I  n


                                           1000
                                            500                                    12
                                                                                11
                                                                             10
                                            200                          8  9
                                          (BH) max (kJ m –3 )  100  6  7

                                            50

                                            20
                                                                 5
                                            10                  4
                                                          3
                                             5
                                                    2
                                             2
     Fig. 11.14                                1
                                             1
     The achieved optimal value of           1880   1900   1920   1940   1960   1980    2000
     (BH) max against time.                                       Year



                                   more complicated and much less useful to an engineer. The most important
                                   activity, the search for better magnetic materials, is empirical anyway, and there
                                   are not many magnetic devices clamouring for quantum theory to solve the
                                   riddle of their operation.
                                     I do think, however, that a brief look into the quantum theory of magnetism
                                   will yield some dividends. It is worth learning, for example, how quantum
                                   numbers come into the picture. We have, after all, come across them when
                                   studying the hydrogen atom, so it is not unreasonable to expect them to be
                                   able to say something about magnetic properties. It is also worth knowing that
                                   there is a very simple experiment showing the quantized nature of magnetic
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