  We discuss the thermoelectric effect of hot and dense hadron gas within the
framework of the hadron resonance gas model. Using the relativistic Boltzmann
equation within the relaxation time approximation we estimate the Seebeck
coefficient of the hot and dense hadronic medium with a gradient in temperature
and baryon chemical potential. The hadronic medium in this calculation is
modeled by the hadron resonance gas (HRG) model with hadrons and their
resonances up to a mass cutoff $\Lambda\sim 2.6$ GeV. We also extend the
formalism of the thermoelectric effect for a nonvanishing magnetic field. The
presence of magnetic field also leads to a Hall type thermoelectric coefficient
(Nernst coefficient) for the hot and dense hadronic matter apart from a
magneto-Seebeck coefficient. We find that generically in the presence of a
magnetic field Seebeck coefficient decreases while the Nernst coefficient
increases with the magnetic field. At higher temperature and/or baryon chemical
potential these coefficients approach to their values at vanishing magnetic
field.
