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1. The OP said that he connected to the headlight wire. IF he has connected his LED turn signals to an unrectified power (which is a yellow wire on MY GY6) that may explain why they are not working.
2. A light bulb filament can't tell whether the applied voltage is AC or DC, it's just a filament.
3. V=IR If voltage is constant a 1 ohm resistor flows twice as much a 2 ohm resistor.
Also I=V/R
4. Power consumed is V*I so a 1 ohm resistor will dissipate twice as much as a 2 ohm resistor
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