The present paper describes a theoretical study of an air heating solar collector. Solar energy is collected in an absorbing triangularly corrugated plate with a selective surface. The collector also has a selective glass cover which reflects the long wavelength radiation emitted by the absorbing plate and transmits most of the short wavelength incoming solar radiation. The collector overall absorptance is further increased by the cavity effect. Solar energy passing through the glass is incident on the selectively absorbing surface of the v-groove plate. The absorbed energy raises the temperature of the plate and heats air that is pumped through the triangular passages of the collector. The efficiency that can be obtained with the collector is determined as a function of a number of parameters of the problem.