Dyonic black holes in the theory of two electromagnetic potentials. II

The results obtained in our previous paper are now extended to the case of stationary axially symmetric dyonic black boles within theory two electromagnetic potentials. We slightly enlarge classical Ernst formalism by introducing, with aid $t$ and $\ensuremath{\varphi}$ components dual potential ${B}_{\ensuremath{\mu}}$, magnetic ${\mathrm{\ensuremath{\Phi}}}_{m}$ which, similar known electric ${\mathrm{\ensuremath{\Phi}}}_{e}$, also takes constant value on hole horizon. analyze detail Kerr-Newman show how Komar mass must be evaluated correctly this model. In particular, we rigorously prove validity standard Tomimatsu formula point out that attempts ``improve'' it made recent years explained misunderstanding auxiliary role singular potentials play description charges. Our approach is symmetrical respect charges and, like static considered earlier, Dirac strings all kind excluded from physical picture spacetimes.