I have an electrical engineering academic background, but since graduation, I have worked exclusively in software and my EE skills are admittedly getting very rusty. Something I never fully understood was circuit analysis with transformers.
I understand, at the simplest level and with an ideal transformer, that the V/I ratio changes such that V1/V2 = I2/I1 and power of the primary should equal power of the secondary.
What I don't understand is that this can happen without violating Ohm's Law.
For example, what happens in this case: I have a transformer that has 10 A running through the primary with 200 V across it. On the secondary, I connect a 10kOhm load.
If the secondary has double the windings of the primary, then I should have 400V and 5 A on the secondary.. but how is this possible considering I have a 10kOhm load on the secondary? It seems as though I should be able to calculate the load from my Vs and Is, despite the fact that I could attach any arbitrary load there. How is this accounted for by equation (6) on Wikipedia (http://en.wikipedia.org/wiki/Transformer)
The second part of this question: What is a reasonable circuit model of a "real" transformer, and would circuit analysis (solving for currents and voltages) using the model answer the question I have above (about violating Ohm's Law)? I do see a circuit model on the Wikipedia article, but it doesn't appear to answer my question at all. The secondary is just an open circuit with a calculated potential across its terminals and the transformer itself.