Autotransformer - power transferred by conduction/induction

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Homework Statement


Upon finding my max. rated output power, and after finding the power transferred by conduction, can i just use:
Output power - power transferred by conduction = to get my power transferred by induction?

or do i have to apply the formula where, S = E1I1 = E2I2?


The Attempt at a Solution



I am not sure if i did the question correctly, but in the answer given to me, they used "Output power - power transferred by conduction" to get power by induction. however, when i did my working using the formula "S = E1I1 = E2I2", my answer was different.
 
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when they state power transformed, are they referring to the power delivered at by induction? therefore they use power conducted - power transformed = power conducted??
 
Let's work it out.

Their equation is: Power Transformed = Load × (1–K)[/size]

If K=1 you know we would be dealing with a 1:1 turns ratio, and you know for a 1:1 turns ratio that power by induction is going to be zero. What does their equation give for K=1? It says Power Transformed = 0.

So it looks like "power transformed" is that delivered by transformer action, i.e., by induction. https://www.physicsforums.com/images/icons/icon14.gif
 
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so when does the equation for conduction comes in? how is induction related to conduction? what is the difference between power delivered by conduction and power delivered by induction?