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Unformatted text preview: e i = cos + i sin , and by looking at the x and ycomponents of the polar coordinates. By the rules of exponents, when you multiply/divide two complex numbers in polar form, ( A 1 , 1 ) and ( A 2 , 2 ), you get: o multiply: A 1 e i 1 A 2 e i 2 = A 1 A 2 e i ( 1+ 2) = ( A 1 A 2 , 1 + 2 ) o divide: A 1 e i 1 A 2 e i 2 = ( A 1 /A 2 )e i ( 12) = ( A 1 / A 2 , 1 2 ) The polar form is closely related to what Serway & Jewitt refer to as phasors (used to describe sinusoidal voltages in chapter 33), and is often written as: A . The symbol is read as, at an angle of. Thus you can write: (3 + 4i) (5 + 12i) = 5 53.13 13 67.38 = 65 120.51 (since 65 = 5 13 and 120.51 = 53.13 + 67.38)...
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This document was uploaded on 02/29/2012.
 Winter '09
 Physics

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