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I dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step?

I dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step?
I dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step? format is designated as polar. Alternatively, rectangular complex numbers may be divided directly (A+ jB)(C – jD) (C+jD)(C – jD) AC + BD + j(BC – AD) A+ jB %3D C +jD - - %3D C2 + D2 (50)(2) + (12)(-1) +5[(12)(2) – (50)(-1)] (2)² + (–1)² | %3D = 18 + j15 %3D 23 Z40°
Transcribed Image Text:I dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step? format is designated as polar. Alternatively, rectangular complex numbers may be divided directly (A+ jB)(C – jD) (C+jD)(C – jD) AC + BD + j(BC – AD) A+ jB %3D C +jD - - %3D C2 + D2 (50)(2) + (12)(-1) +5[(12)(2) – (50)(-1)] (2)² + (–1)² | %3D = 18 + j15 %3D 23 Z40°
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