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HW01-02F09 - a = 5 − ° 5 b = − 10 ° 5 c = − 3 −...

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1 G EORGIA I NSTITUTE OF T ECHNOLOGY ECE3710 E LECTRONICS & C IRCUITS F ALL 2009 P ROBLEM SET #1&2 Date Assigned: August 27, 2009 Date Due: --- Instructions: These are practice problems for the students benefit only and not to be submitted. You are encouraged to work as a group to solve the homework problems. You are also strongly recommended to use the forums in T-Square to post your questions and problems, if you have any. This is a free discussion panel which you can use to share your questions and ideas with the rest of the class and read their feedback. Best of luck! Homework Related Reading: Appendix A & Chapter 1 Reading Assignment: Chapter 2 Part I: Review of Complex Numbers and Algebraic Operations A.1) Given that ? 1 = 2 + 𝑗 3 and ? 2 = 4 − 𝑗 3 , reduce ? 1 + ? 2 , ? 1 − ? 2 , ? 1 ? 2 , and ? 1 / ? 2 to rectangular form. A.4) Express each of these complex numbers in polar form and in exponential form:
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Unformatted text preview: a) ? ? = 5 − ° 5 b) ? ? = − 10 + ° 5 c) ? ? = − 3 − ° 4 d) ? ? = −° 12 A.5) Express each of these complex numbers in rectangular form and in exponential form: a) ? ? = 5 ∠ 45 ± b) ? ? = 10 ∠ 120 ± c) ? ? = − 15 ∠− 90 ± d) ? ? = − 10 ∠ 60 ± A.6) Express each of these complex numbers in rectangular form and in polar form: a) ? ? = 5 ? ° 30 ± b) ? ? = 10 ? −° 45 ± c) ? ? = 100 ? ° 135 ± d) ? ? = 6 ? ° 90 ± A.7) Reduce each of the following to rectangular form: a) ? ? = 5 + ° 5 + 10 ∠ 30 ± b) ? ? = 5 ∠ 45 ± − ° 10 2 c) ? ? = 10 ∠ 45 ° 3+ ± 4 d) ? ? = 15 5 ∠ 90 ° Part II: Chapter 1 The following problems from the textbook are suggested: 1.60, 1.62, 1.63, 1.64, 1.66, 1.68, 1.70, 1.75...
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