Using the thirteen‐moment method of Grad, explicit expressions for the drift velocities and thermal flux vectors in a five‐component nonequilibrium plasma in the presence of electric and magnetic fields, and pressure, temperature (or concentration) gradients are presented. The results are valid over a wide range of the degree of ionization and in situations where charge neutrality does not hold. When terms of the order of the square root of the ratio of the mass of the electron to the mass of a heavy particle can be ignored, a direct and simple derivation of the generalized Ohm's law in a multicomponent plasma can be obtained. The influence of charge nonneutrality on the electrical conductivity is discussed.