A Load Impedance Function for the Simultaneous Maximum Voltage and Maximum Power

Abstract

Results of a load impedance function that will present conditions for the simultaneous occurrence of
maximum voltage and maximum power at the terminals of a linear transducer circuit are given. The statement is
based on algebraic solution to the problem of maximum power in voltage- and resistance-constrained radial
transmission lines. As a result, it is shown that the load impedance conditions for maximum power with conjugate
matching and Brainerd’s maximum load voltage condition are embodied in the generalized load impedance
function as the upper and lower limiting states of maximum received power; and that a purely resistive state for
this function will determine the limit to stable power transfer. In addition, a case for the optimum transmission
reactance that will enable extraction of maximum voltage at the maximum powers of conjugate impedance
matching is demonstrated