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Average energy per fermion in case of Fermi gas with any kinematiccharacteristic, trapped under most general power law potential in $d$ dimensionhas been calculated at zero temperature. In a previous paper (M. Acharyya, Eur.J Phys. 31 L89 (2010)) it was shown, in case of free ideal Fermi gas asdimension increases average energy approaches to Fermi energy and in infinitedimension average energy becomes equal to Fermi energy at $T=0$. In this letterit is shown that, for trapped system at finite dimension the average energydepends on power law exponent, but as dimension tends to infinity averageenergy coincides with Fermi energy for any power law exponent. The resultobtained in this manuscript is more general as we can describe free system aswell as any trapped system with appropriate choice of power law exponent andtrue for any kinematic parameter.

A note on Fermi energy of Fermi gas trapped under generic power law potential in $d$-dimension