Transformers won’t work with solar panels. Solar panels produce DC voltage, transformers only work with AC. Solar panels are for charging batteries. You need an inverter to convert the battery voltage to AC.


A 20 Watt solar panel is not enough to do anything in a home. A 20 watt 12 volt panel only produces 1.6 amps, while this could be useful for camping, it’s nothing for a house.
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You can run, but you'll only die tired.