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In the present study, the linear analysis of electrodynamic Rayleigh-Taylor instability(ERTI) in a thin layer of an incompressible two fluids with a poor conducting fluid confined above by an interface with heavier fluid and below with a rigid boundary subjected to boundary roughness is analyzed. A dispersion that accounts for the growth rate is derived using the approximations defined by Rudraiah  et al .,[(1996) and stability is discussed theoretically as well as numerically. The influence of the combined effect of electromagnetic fields, surface tension, power-law fluid, boundary roughness and layer thickness on the ERTI is investigated and shown graphically for above various physical parameters on the stability of the system. It is observed that electric field, magnetic field, power-law fluid, porous parameter and boundary roughness have stabilizing effect on the system whereas Bond number and layer thickness destabilizes the interface.

Effect of Electromagnetic field on Rayleigh-Taylor instability in a power-law fluid in presence of boundary roughness