Simplified formulae were derived for the approximate evaluation of electrical performances of an MHD generator with nonuniform equilibrium plasma. In order to clarify the effectiveness of the propperly shaped nonuniform magnetic induction of type B ∞ n e , the transverse component B y was included in the formulation of the theory. It was shown that the terminal characteristics of the generator, such as the internal resistance, the motional emf, the current and the output power could be improved significantly under the shaped B z ∞ n e type of applied magnetic induction for wide ranges of electrodeand insulator wall temperatures, channel sizes and averaged intensities of the magnetic induction.