Radical intermediates or products are generated on a tube electrode that is placed adjacent to an e.s.r. cavity. The radicals are carried by laminar flow from the electrode into the cavity. Theory is presented for the case where the radicals are decomposing by first-order kinetics in their passage to the cavity. Experiments carried out on nitrobenzene in the presence of IO4- and on p-phenylenediamine are shown to be in good agreement with the theory.