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Welcome to our concluding wrap up of 
module five which is the final module of 

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our course in linear circuits. 
Going back to our concept map we saw that 

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for power we made use of the maximum 
power transfer from resistive circuits 

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and impedance in phasors from frequency 
analysis to do power analysis. 

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We looked at apparent power, reactive 
power, the power factor, and 

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transformers. 
In discussing, power, and how it, how it 

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operates. 
To cover some of the important concepts 

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and skills that you should be able to, to 
recognize and, and perform. 

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First of all, for root mean squared. 
You should be able to calculate the root 

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mean squared of a periodic function. 
And recognize that root mean square 

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values are invariant to the frequency. 
It's basically a function of the shape. 

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You should be able to use a known RMS 
equation to find RMS values, given the 

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peak values and visa versa, you should be 
able to find the peak values given the 

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RMS values. 
From power factors and power triangles, 

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you should be able to calculate complex 
power either from the equations for the 

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voltage and current themselves, or from 
phasors represented of that voltage and 

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current. 
You should be able to generate power 

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triangles. 
And then using power triangles, be able 

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to find apparent power with is [UNKNOWN] 
by modular s or the absolute value of s. 

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The real or average power, P, the 
reactive power, Q, the power factor and 

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the power angle. 
Using the phase angle, you should also be 

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able to identify if a load is resistive, 
capacitive, or inductive. 

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Resistive for zero, capacitive for a 
negative and go inductive for a positive. 

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From the equations you should also be 
able to identify if a load is resistive, 

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capacitive, or inductive. 
You should be able to do the same thing 

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given a graph of the voltage and the 
current. 

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You're supposed to be able to recognize 
if a system is leading or that the 

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current leads the voltage or lagging, 
that the current lags the voltage. 

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For maximum power transfer you should be 
able to calculate the impedance which 

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gives maximal power transfer, the complex 
conjugate of a [INAUDIBLE] impedance. 

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You should be able to calculate the 
average power consumed when the load 

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gives maximal power transfer and you 
should be able to find the optimal purely 

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resistive load for constrained maximum 
power transfer. 

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As well as be able to find the average 
power that is consumed by that resistive 

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load. 
And from transformers, we describe the 

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physical effects, which make transformers 
work, and you should briefly be able to 

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describe that behaviour. 
You should be able to use the linear 

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model to analyze the circuit with the 
transformer, as well as the ideal model. 

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To analyze a circuit with a transformer. 
You should also identify circumstances 

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when a transformer is an appropriate 
device to be used in a system when you're 

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wanting to, for example, change voltages. 
You should also be able to explain the, 

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how using transformers facilitates long 
distance power distribution, allowing 

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large voltages and small currents. 
This will lead to smaller voltages and 

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larger currents for power line 
transmission so you don't lose so much as 

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heat and currents through the wires. 
You should also be able to describe why 

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transformers do not typically function 
for direct current systems. 

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And then finally, identify, using 
amplitude and phase, the relative 

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displacement of a linear variable 
differential transformer. 

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So this concludes module five, and that 
is the final module of our section on 

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linear circuits. 
Now this should give you enough 

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information that from this point you 
should be able to go forward and start 

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looking at some non-linear systems. 
So you can start looking at things like 

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diodes and transistors. 
So these are a little bit more 

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complicated devices that are commonly 
used in electrical systems. 

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But, from this point, you already know a 
lot about how voltages and currents work, 

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as well as linear devices. 
And so you can actually start, perhaps, 

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applying these to, for example, little 
projects that you might be interested in 

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doing. 
Hopefully, you enjoyed the material that 

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was presented in this course. 
If you have any feedback or comments on 

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the material that was presented I eagerly 
encourage you to go to the forums and 

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post your, your thoughts there. 
Look forward to getting feedback from how 

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you enjoyed the course. 
The things that you found very useful and 

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the things that you found less useful. 
So we can improve the way that this 

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material is presented in the future. 
Thank you very much for your 

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participation in the course, and 
congratulations. 

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This was not an easy course. 
There was a lot of material that was 

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presented. 
And if you made through the conclusion, 

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it's quite an accomplishment, and you 
should be proud of your accomplishment. 

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So, look forward to perhaps seeing you in 
subsequent lectures and otherwise I will 

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see you on the forums. 
Take care.