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1. Rewrite the notes for the wiki.
2. Draw and explain the effect of the non-linear B-H curve on current waveforms for a voltage excited inductor.
3. Explain how to measure the B-H curve experimentally.
4. If the B-H curve was traced out more quickly in the experiment above, would the curve look different? If so why?
5. Show how to calculate the core losses of a nonlinear inductor using its i-v curve.
6. Explore transformers with more than one secondary winding.
7. What is the input impedance of an idea transformer with two secondaries, one with N2 turns and one with N₃ turns, each with a different load resistor on attached.
8. How do the mutual impedances relate to the turns ratios in transformers with more than one secondary?
9. Develop a circuit model for a non-ideal transformer with multiple secondaries.
10. Develop the theory of autotransformers.
11. Explore how leakage flux affects the inductance of an inductor. What if that flux is then recovered and the effect accounted for by mutual inductance? Does the result agree with the simple calculation of inductance without leakage?
12. Describe the coupling factor, k, used in Spice simulators and other circuit simulators. Relate it to the leakage, magnetizing, and mutual inductances.
13. Derive the $Y/\mathrm{\Delta }$ transformations.
14. Explore the voltage regulation $\frac{(V_{fullload}-V_{noload})}{V_{fullload}}$x 100% as a function of the power factor angle on the load of a transformer. (You will note some surprising results in some cases.)
15. Describe the open circuit and short circuit test as applied to transformers.
16. Calculate and compare how much power can be delivered with three phase circuits as compared to a single phase circuits. Assume that the same amount of copper is available for the wire of both systems.
17. And if you don't understand any of the above, no surprise.