Abstract
Variational principles of magnetostatics are formulated, which permit evaluation of the upper and lover bounds on the energy of a magnetic field produced by a known spatial current density distribution with the help of rather broad classes of trial functions. The potentialities for the use of these variational principles as applied to practical problems is demonstrated with an example of the well-known problem of the calculation of the inductance of a straight solenoid of finite length. In particular, it is shown that the formula appearing in all the textbooks for this inductance, in fact, defines the upper bound for the true value of the inductance.
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