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Using time-domain spectroscopy we studied the topological insulators, Bi2-xSbxTe3-ySey thin films of different thickness and chemical composition. The obtained temporal dependences of terahertz pulses show that generation of THz radiation is more effective in an island film with a total thickness of about tens of nanometers. For the first time amplification of the THz radiation power by applying an external electric field to a topological insulator is demonstrated. This effect can be useful for fabricating photoconductive antennas based on topological insulators.