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lesson33 - Lesson 33 AC Circuit Analysis I(Sections 8-1 and...

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Lesson 33 – AC Circuit Analysis I (Sections 8-1 and 8-2) (CLOs 8-1 and 8-2) This is the beginning of a four-lecture block on doing all those things we did with dc (KVL, KCL, Node Voltage, Mesh Current, Thévenin Equivalent, Voltage and Current dividers, Superposition, etc) again but using ac Phasors. The main point to make is that all these things work in ac – but are a bit more complex (pun intended!). Phasor analysis involves the use of complex numbers. Many students have not used complex numbers since high school and have forgotten how to manipulate them. Appendix A serves as a review for the students, but you might want to revisit a few basic concepts. First tell them in electrical engineering “ i ” is reserved for current, hence, a new symbol for the 1 - is used “ j ”. Then show them the following equalities . , , , , , j j j j j j j j j - = = - × = - = - = - = 1 1 1 1 1 4 3 2 Remind them how to convert from rectangular to polar representation of a complex number and vice-versa. Then remind them that adding or subtracting two phasors is best done with the phasors represented in rectangular form, and multiplication, division, raising to a power or taking a root is best done with the phasor(s) represented in polar form. A few simple examples are useful. A particularly useful review problem is simply adding complex fractions, i.e.
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