Magnetism and Matter
If χ stands for the magnetic susceptibility of a given material, identify the class of materials for which:
(i) – 1 ≥ χ < 0
(ii) 0 < χ < ε, (ε stands for a small positive number).
(a) Write the range of relative magnetic permeability of these materials.
(b) Draw the pattern of the magnetic field lines when these materials are placed in an external magnetic field.
(i) For – 1 ≥ χ < 0 i.e., magnetic susceptibilty is negative, the material is diamagnetic.
(ii) For 0 < χ < ε, material is paramagnetic.
(a) Range of relative magnetic permeability of diamagnetic material is 0 ≤ μr < 1.
Range of relative magnetic permeability of paramagnetic material is 0 < μr < 1 + ε.
(b) Fig. (1) shows the behaviour of magnetic field lines when diamagnetic material is placed in an external field.
Fig. (2) shows the behaviour of magnetic field lines when paramagnetic material is placed in an external field.
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A bar magnet of magnetic moment 1.5 JT–1 lies aligned with the direction of a uniform magnetic field of 0.22 T.
(a) What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment: (i) normal to the field direction, (ii) opposite to the field direction?
(b) What is the torque on the magnet in cases (i) and (ii)?
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