Solve the following problem:
A volume of 200 cm3 of a paramagnetic substance is maintained at constant temperature. The magnetic field is increased quasi-statically and isothermally from 0 to 106 Aim. Assume the Curie law to hold and the Curie constant per unit volume to be 1.885 K/m3.
(a) How much work would have to be done if no material were present?
(b) How much work is done to change the total magnetization of the material when the temperature is 300 K and when it is 1K?
(c) How much work is done to change the total magnetization by the generator supplying the current?