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Question:

How much can you increase current with a transformer?

For example, if you have a battery that puts out 1 amp, can you use a step down transformer to turn that into 1000 Amps. Or is there some sort of limit to how much one can increase current in a circuit?

Answer:

this is not a contradiction. the skill keeps to be an analogous (minus some inefficiency). If the skill in is a million Volt at 1Amp, that's a million Watt (Volts situations Amps equals Watts). After dealing with a 2:a million step up transformer, the output would be 2 Volts at a million/2 Amp a million Watt. it may be mind-blowing to get extra skill out, yet that's only not the way issues artwork.
Battery power is DC that cannot be used on transformer. Transformer has its limitation the total input power is near equal to total output power. Example: Input power is 100V ac 1A ,that equal to 100W by step it down into 1V , it can provide 100A,because it is still 100W Or by step it down into 0.1V, it can provide 1000A, because it is also equal to 100W. BUT 100V 1A CANNOT BE CHANGED INTO 100V 100A WITH TRANSFORMER.
A battery produces DC. Transformers work on AC.
you need to understand first that there are actually four most basic units in electricity. these are: v voltage I current, measured in amps r resistance measured in ohms VA w power, measured in watts 1A x 1V 1W 1A @ 1V over 1mm^2/1m pure copper produce 1ohm resistance it is bit more complicated than that. but you must remember that basic power equation is exactly that! it will never grow bigger or smaller, it's left side will always equal it's right side! now deliver from it another two: 1W 1A x 1V 1A 1W / 1V 1V 1W / 1A now, to your question, disregard remark about direct current, we will use inverter or anything else to change our direct current to alternate current. for clarity, i will use only decimal numbers: a battery with 1A/100V capacity, - your question is if you can increase that to 1kA? yes! just use transformations above: 1A x 100V 100W i want 1000A, therefore, re write the equation: 1A 100W / 100V :/x 1000 1000A 100W / 0.1V this is theory in practical solutions, transformers are good, but still incur up to 3% loses, resistance will incur another up to 32% loses due to heat and increased resistance, this is often countered by very effective heat exchange systems and cooling effects as a result. hope this help at least a bit
Transformers do run on AC, but they step current and voltage up or down along with some heat losses. Theoretically there is no limit to the stepping up of current, but it has to be inline with the magnetic saturation of the primary and secondary coils. In other words you can't put in one turn in the primary with one amp and in the secondary have 1000 turns and expect a 1000 amp outlet current. You have to to base the primary circuit on how much magnetic flux it can produce with how many turns of wire. Like maybe 1000 turns in the primary and 1 million turns in the secondary will get that thousand amps. Plus you have to make sure you have the laminated silicon steel plates that can handle all the eddy currents from the fluctuating alternating magnetic fields and the heat that produces. But anyway, to my knowledge there is no limit to stepping up or stepping down current or voltage as long as you size the wires and core properly to handle the load running thru it

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