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The relative strength and linewidth are calculated for electrostatic mode absorption resonances in (A) a circular microwave cavity containing an axial, axially magnetized plasma column and oscillating in the TE011 mode and (B) a waveguide through the narrow faces of which an axially magnetized plasma column is inserted; in both bases the excitation frequency is taken to be just below the second electron cyclotron harmonic. This is done by solving Maxwell's equations in a warm, inhomogeneous, magnetized plasma in cylindrical coordinates to produce an eigenfrequency equation for the cavity and a transmission coefficient for the waveguide. Collisional and end effects are included. An experimental check of the validity of the cavity eigensolutions was carried out.