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Many FM clock and table radios use a capacitor connecting the powerline and FM antenna input to provide an antenna. The capacitance is in the pf range so that there is no appreciable 60 hz ac coupling. Sometimes a capacitor is created in this setup by winding the antenna wire around the power cord, or a metal sleeve that slips over the cord.
Winding about 6" of wire connected to antenna terminal around the power cord insulation should provide the same effect as the plug-in antenna gadget.
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