Welcome to our concluding wrap up of module five, which is the final module of our course in linear circuits. Going back to our concept map, we saw that for power we made use of max power transfer from resistance circuits and impedance in phases from frequency analysis to do power analysis. We looked at apparent power, reactive power, the power of factor and transformers in discussing power and how it operates. So it covers some of the important concepts and skills that you should be able to recognize and perform. First of all for root-mean square, you should be able to calculate the root-mean square of a periodic function. And recognize that root-mean square values are invariant to the frequency, it's basically a function of the shape. You should be able to use a known RMS equation to find RMS values given the peak values, and vice versa you should be able to find the peak values given the RMS values. From power factors and power triangles, you should be able to calculate complex power either from the equations for the voltage and current themselves, or from phasors representative of that voltage and current. You should be able to generate power triangles. And then using power triangles, be able to find apparent power, which is designated by modular S or the absolute value of S. The real or average power P, the reactive power Q, the power factor and the power angle. Using the phase angle, you should also be able to identify if a load is resistive, capacitive, or inductive, resistive for zero, capacitive for a negative angle, and inductive for a positive angle. From the equations, you should also be able to identify if a load is resistive, capacitive or inductive. You should be able to do the same thing given a graph of the voltage and the current. You should also be able to recognize if the system is leading or the current leads the voltage or lagging that the current lags the voltage. For maximum power transfer, you should be able to calculate the impedance which gives maximal power transfer, the complex conjugate of the feminine impedance. You should be able to calculate the average power consumed when the load gives maximal power transfer. And you should be able to find the optimal purely resistive load for constrained and maximal power transfer, as well as be able to find the average power that is consumed by that resistive load. And from transformers, we describe the physical effects which make transformers work and you should be able to briefly describe that behavior. You should be able to use the linear model to analyze a circuit with the transformer, as well as the ideal model to analyze a circuit with a transformer. You should also identify circumstances when a transformer is an appropriate device to be used in a system, when you're wanting to, for example, change voltages. You should also be able to explain how using transformers facilitates long distance power distribution, allowing large voltages, and small currents to lead to larger or smaller voltages and larger currents for powerline transmission. So you don't lose so much as heat in currents through the wires. Should also be able to describe why transformers do not typically function for direct current systems. And then finally, identify using the amplitude and phase, the relative displacement of a linear variable differential transform. So this concludes module five. And that is the final module of our section on linear circuits. Now this should give you enough information that from this point you should be able to go forward and start looking at some non-linear systems. So you can start looking at things like diodes and transistors. So these are a little bit more complicated devices that are commonly used in electrical system. But from this point you already know a lot about how voltages and currents work as well as linear devices. And so you can actually start perhaps applying these to, for example, little projects that you might be interested in doing. Hopefully, you enjoyed the material that was presented in this course. If you have any feedback or comments on the material that was presented, I eagerly encourage you to go to the forums and post your thoughts there. Look forward to getting feedback from how you enjoyed the course, the things that you found very useful and the things that you found less useful, so we can improve the way this material is presented in the future. Thank you very much for your participation in the course, and congratulations. This was not an easy course. There was a lot of material that was presented and if you've made it through the conclusion, it's quite an accomplishment and you should be proud of your accomplishment. So I look forward to perhaps seeing you in subsequent lectures. And otherwise, I will see you on the forums. Take care.
