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In this paper, we investigate the performance of an electrically small genetic antenna, immersed in several different powders having relative dielectric constants as large as 12. Placing the antenna in a dielectric reduces its electrical size from about 1/20th of a wavelength in free space to less than 1/50th of a wavelength, in a powder having a dielectric constant of 12, even for a dielectric volume just slightly larger than the antenna. Although the bandwidth decreases as the electrical size of the antenna becomes smaller, it is shown that for each dielectric powder, there is a set of frequencies for which the antenna is operational. It is thus possible to efficiently operate the antenna at specific frequencies within a wide band.