  We have studied the effects of weak magnetic field and finite chemical
potential on the transport of charge and heat in hot QCD matter by estimating
their respective response functions, such as the electrical conductivity
($\sigma_{\rm el}$), the Hall conductivity ($\sigma_{\rm H}$), the thermal
conductivity ($\kappa_0$) and the Hall-type thermal conductivity ($\kappa_1$).
The expressions of charge and heat transport coefficients are obtained by
solving the relativistic Boltzmann transport equation in the relaxation time
approximation at weak magnetic field and finite chemical potential. The
interactions among partons are incorporated through their thermal masses. We
have observed that $\sigma_{\rm el}$ and $\kappa_0$ decrease and $\sigma_{\rm
H}$ and $\kappa_1$ increase with the magnetic field in the weak magnetic field
regime. On the other hand, the presence of a finite chemical potential
increases these transport coefficients. The effects of weak magnetic field and
finite chemical potential on aforesaid transport coefficients are found to be
more conspicuous at low temperatures, whereas at high temperatures, they have
only a mild dependence on magnetic field and chemical potential. We have found
that the presence of finite chemical potential further extends the lifetime of
the magnetic field. Furthermore, we have explored the effects of weak magnetic
field and finite chemical potential on the Knudsen number, the elliptic flow
coefficient and the Wiedemann-Franz law.
