  We study the effect of charged excitations in the AdS spacetime on the first
law of entanglement thermodynamics. It is found that `boosted' AdS black holes
give rise to a more general form of first law which includes chemical potential
and charge density. To obtain this result we have to resort to a second order
perturbative calculation of entanglement entropy for small size subsystems. At
first order the form of entanglement law remains unchanged even in the presence
of charged excitations. But the thermodynamic quantities have to be
appropriately `renormalized' at the second order due to the corrections. We
work in the perturbative regime where $T_{thermal}\ll T_E$.
