Biasing the scrape-off layer of a tokamak is discussed as a means of equalizing the power loads to and the recycling regimes in front of the target plates of a single null divertor. The scheme would be optimal with the grad-B drift directed towards the targets, thus ensuring a low H-mode threshold, and it might, at the same time, allow an increase in the wetted plate area. The electrical requirements for and development needs towards its application under ITER-like conditions are also discussed.