  Recently, the inverse electrodynamics model (IEM) was introduced and applied
to fined Reissner-Nordstr\"{o}m black holes in the context of the general
relativity coupled minimally with the nonlinear electrodynamics \cite{1}. The
solution consists of both electric and magnetic fields as of the dyonic
solutions. Here in this note, we show that the IEM model belongs to a more
general class of nonlinear electrodynamics with $T=T_{\mu }^{\mu }=0$. Here
$T_{\mu }^{\nu }$ is the energy-momentum tensor of the nonlinear electrodynamic
Lagrangian. Naturally, such a dyonic RN black hole solution is the solution for
this general class.
