WELL, Youre gettin there. First of all for basic transformer action YOU NEED AC (or at least some pulsing/switching) NOT PURE DC. So if a transformer had a two to one turns ratio and you applied 6 volts AC on one side you would get double that or 12 volts AC out the other side and vice versa....
YES youre thinkin right, a transformer is a passive less then 100% efficient device as theres inefficiencies and heat losses going on. If you put energy in one side, you get less out the other side, so although it can step up voltage it cant create or increase energy so the volts x amps x time in on one side wouldnt put out as much volts x amps x time out the otehr cuz some energy is robbed as heat. AS far as output current, it remains V/R buttttttttt if you try to pull too much current then the voltage drops..
Fun discussion you started, feel free to ask any questions butttttttttttt remember we cant teach nor would you be expected to understand here in a paragraph what takes books n years of study to explain
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