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 the maximum 
power transfer from resistive circuits 
and impedance in phasors from frequency 
analysis to do power analysis. 
We looked at apparent power, reactive 
power, the power factor, and 
transformers. 
In discussing, power, and how it, how it 
operates. 
To cover some of the important concepts 
and skills that you should be able to, to 
recognize and, and perform. 
First of all, for root mean squared. 
You should be able to calculate the root 
mean squared 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 visa 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 represented of that voltage and 
current. 
You should be able to generate power 
triangles. 
And then using power triangles, be able 
to find apparent power with is [UNKNOWN] 
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 and go inductive for a positive. 
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're supposed to be able to recognize 
if a system is leading or that 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 a [INAUDIBLE] 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 maximum 
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 briefly be able to 
describe that behaviour. 
You should be able to use the linear 
model to analyze the 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 the, 
how using transformers facilitates long 
distance power distribution, allowing 
large voltages and small currents. 
This will lead to smaller voltages and 
larger currents for power line 
transmission so you don't lose so much as 
heat and currents through the wires. 
You should also be able to describe why 
transformers do not typically function 
for direct current systems. 
And then finally, identify, using 
amplitude and phase, the relative 
displacement of a linear variable 
differential transformer. 
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 systems. 
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, 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 that 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 made through the conclusion, 
it's quite an accomplishment, and you 
should be proud of your accomplishment. 
So, look forward to perhaps seeing you in 
subsequent lectures and otherwise I will 
see you on the forums. 
Take care.