In the present paper, comparison of characteristic shielding distance is determined by using a non-Maxwellian plasma. A modified version of the generalized Lorentzian distribution function, which is referred to as the (r, q) distribution, has been employed to derive the shielding distance with a modified power-law. The most surprising feature of a plasma containing superthermals is the strong dependence of plasma Debye length lambda(D) on spectral indices kappa, r and q. It is observed that these spectral indices frustrate the Debye shielding distance. In the case of kappa, it is much smaller than that found for a Maxwellian plasma. We adopt the (r, q) distribution because it gives better data fit results, especially when there are shoulders in the profile of the distribution function along with a high-energy tail.
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