  We compute finite 't Hooft coupling corrections to observables related to
charged quantities in a strongly coupled $\mathcal{N}=4$ supersymmetric
Yang-Mills plasma. The coupling corrected equations of motion of gauge fields
are explicitly derived and differ from findings of previous works, which
contained several small errors with large impact. As a consequence the
$\mathcal{O}(\gamma)$-corrections to the observables considered, including the
conductivity, quasinormal mode frequencies, in and off equilibrium spectral
density and photoemission rates, become much smaller. This suggests that
infinite coupling results obtained within AdS/CFT are little modified for the
real QCD coupling strength.
