Employing the dielectric tensor elements and taking into account the time variations of a rotating magnetic field (RMF) leading to the electric field generation responsible for particle acceleration, we develop a closed mathematical form for the radiated power absorbed by a long column containing multilayer inhomogeneous drift plasma with elliptical cross-section. To this end, cold-fluid equations are employed to drive explicit expressions for the dielectric tensor elements by taking into account the effect of RMF. Results reveal that the dielectric tensor has an anti-Hermitian part responsible for dissipation which comes from the rotation of external magnetic field. In order to describe the effective force exerted on the plasma, a general expression is obtained for the ponderomotive force by utilising the electric field components presented in this work. To check the accuracy of the obtained results, some limiting cases are discussed.