CHAPTER 1 - Fundamentals of Electrical Circuits
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1.7 Conclusions
In this chapter we first revised the concepts of voltage and current and how they relate to
Electric and Magnetic fields. We also demonstrated how circuit elements properties such as
resistance, capacitance and inductance, not only relate V and I but also the magnitudes of E and H.
As we move further up in frequency, the assumptions which are made for AC and DC circuits and
which enable us to use the scalar quantities V and I in place of vector entities E and H, may however
no longer be valid. Therefore a new approach to the design and analysis of circuits will need to be
taken.
We also revised some relevant mathematical concepts, namely derivatives, complex numbers,
complex exponentials and Euler's formulae, from a different viewpoint and established a clear
connection between the mathematics and the physical phenomena that they are used to represent.
Moreover we explored the concept of complex impedances and explained why their imaginary parts
are indeed very real!
This gives us a solid launch platform to leap into high frequency circuit theory, transmission
lines and electromagnetic waves.
Conquer Radio Frequency
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