  Hot QCD medium effects have been studied in the effective quasi-particle
description of quark-gluon plasma. This model encodes the collective excitation
of gluons and quarks/anti-quarks in the thermal medium in terms of effective
quarks and gluons having non-trivial energy dispersion relation. The present
investigation involves the extension of the effective quasi-particle model in
strong magnetic field limit. Realizing, hot QCD medium in the strong magnetic
field as an effective grand canonical system in terms of the modified quark,
anti-quark and gluonic degrees of freedom, the thermodynamics has been studied.
Further, the Debye mass in hot QCD medium has to be sensitive to the magnetic
field, and subsequently the same has been observed for the effective hot QCD
coupling. As an implication, electrical conductivity (longitudinal) has been
studied within an effective kinetic theory description of hot QCD in the
presence of the strong magnetic field. The hot QCD equation of state (EoS),
dependence entering through the effective coupling and quasi-parton
distribution function, found to have a significant impact on the longitudinal
electrical conductivity in strong magnetic field background.
